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Finding the Fourth Proportional to 284,292.27, 392,320.80 and 156,965.13

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Solution

The fourth proportional to 284,292.27, 392,320.80 and 156,965.13 is: 216,610.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,292.27 : 392,320.80 = 156,965.13 : x
  2. Step 2: Convert to fraction form
    284,292.27/392,320.80 = 156,965.13/x
  3. Step 3: Cross multiply
    284,292.27x = 392,320.80 × 156,965.13
  4. Step 4: Simplify right side
    284,292.27x = 61,580,685,373.70
  5. Step 5: Solve for x
    x = 61,580,685,373.70/284,292.27
  6. Step 6: Final answer
    x = 216,610.48

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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.