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Finding the Fourth Proportional to 257,724.84, 386,431.86 and 115,544.40

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Solution

The fourth proportional to 257,724.84, 386,431.86 and 115,544.40 is: 173,246.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,724.84 : 386,431.86 = 115,544.40 : x
  2. Step 2: Convert to fraction form
    257,724.84/386,431.86 = 115,544.40/x
  3. Step 3: Cross multiply
    257,724.84x = 386,431.86 × 115,544.40
  4. Step 4: Simplify right side
    257,724.84x = 44,650,037,404.58
  5. Step 5: Solve for x
    x = 44,650,037,404.58/257,724.84
  6. Step 6: Final answer
    x = 173,246.93

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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.