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Finding the Fourth Proportional to 284,398.68, 392,468.94 and 157,073.64

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Solution

The fourth proportional to 284,398.68, 392,468.94 and 157,073.64 is: 216,760.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,398.68 : 392,468.94 = 157,073.64 : x
  2. Step 2: Convert to fraction form
    284,398.68/392,468.94 = 157,073.64/x
  3. Step 3: Cross multiply
    284,398.68x = 392,468.94 × 157,073.64
  4. Step 4: Simplify right side
    284,398.68x = 61,646,524,992.74
  5. Step 5: Solve for x
    x = 61,646,524,992.74/284,398.68
  6. Step 6: Final answer
    x = 216,760.94

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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.