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Finding the Fourth Proportional to 284,564.92, 392,699.46 and 157,239.40

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Solution

The fourth proportional to 284,564.92, 392,699.46 and 157,239.40 is: 216,990.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,564.92 : 392,699.46 = 157,239.40 : x
  2. Step 2: Convert to fraction form
    284,564.92/392,699.46 = 157,239.40/x
  3. Step 3: Cross multiply
    284,564.92x = 392,699.46 × 157,239.40
  4. Step 4: Simplify right side
    284,564.92x = 61,747,827,470.72
  5. Step 5: Solve for x
    x = 61,747,827,470.72/284,564.92
  6. Step 6: Final answer
    x = 216,990.30

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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.