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Finding the Fourth Proportional to 257,410.71, 355,226.31 and 156,808.71

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Solution

The fourth proportional to 257,410.71, 355,226.31 and 156,808.71 is: 216,395.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,410.71 : 355,226.31 = 156,808.71 : x
  2. Step 2: Convert to fraction form
    257,410.71/355,226.31 = 156,808.71/x
  3. Step 3: Cross multiply
    257,410.71x = 355,226.31 × 156,808.71
  4. Step 4: Simplify right side
    257,410.71x = 55,702,579,429.16
  5. Step 5: Solve for x
    x = 55,702,579,429.16/257,410.71
  6. Step 6: Final answer
    x = 216,395.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.