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Finding the Fourth Proportional to 257,869,690,429.15, 386,804,535,643.72 and 257,869,690,429.15

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Solution

The fourth proportional to 257,869,690,429.15, 386,804,535,643.72 and 257,869,690,429.15 is: 386,804,535,643.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,869,690,429.15 : 386,804,535,643.72 = 257,869,690,429.15 : x
  2. Step 2: Convert to fraction form
    257,869,690,429.15/386,804,535,643.72 = 257,869,690,429.15/x
  3. Step 3: Cross multiply
    257,869,690,429.15x = 386,804,535,643.72 × 257,869,690,429.15
  4. Step 4: Simplify right side
    257,869,690,429.15x = 99,745,165,863,037,190,537,216
  5. Step 5: Solve for x
    x = 99,745,165,863,037,190,537,216/257,869,690,429.15
  6. Step 6: Final answer
    x = 386,804,535,643.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.