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Finding the Fourth Proportional to 257,645.28, 386,390.16 and 152,436

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Solution

The fourth proportional to 257,645.28, 386,390.16 and 152,436 is: 228,607.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,645.28 : 386,390.16 = 152,436 : x
  2. Step 2: Convert to fraction form
    257,645.28/386,390.16 = 152,436/x
  3. Step 3: Cross multiply
    257,645.28x = 386,390.16 × 152,436
  4. Step 4: Simplify right side
    257,645.28x = 58,899,770,429.76
  5. Step 5: Solve for x
    x = 58,899,770,429.76/257,645.28
  6. Step 6: Final answer
    x = 228,607.99

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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.