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Finding the Fourth Proportional to 284,773.68, 392,953.32 and 157,431.96

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Solution

The fourth proportional to 284,773.68, 392,953.32 and 157,431.96 is: 217,237.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,773.68 : 392,953.32 = 157,431.96 : x
  2. Step 2: Convert to fraction form
    284,773.68/392,953.32 = 157,431.96/x
  3. Step 3: Cross multiply
    284,773.68x = 392,953.32 × 157,431.96
  4. Step 4: Simplify right side
    284,773.68x = 61,863,411,356.11
  5. Step 5: Solve for x
    x = 61,863,411,356.11/284,773.68
  6. Step 6: Final answer
    x = 217,237.11

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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.