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Finding the Fourth Proportional to 284,306.12, 392,332.16 and 156,978.98

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Solution

The fourth proportional to 284,306.12, 392,332.16 and 156,978.98 is: 216,625.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,306.12 : 392,332.16 = 156,978.98 : x
  2. Step 2: Convert to fraction form
    284,306.12/392,332.16 = 156,978.98/x
  3. Step 3: Cross multiply
    284,306.12x = 392,332.16 × 156,978.98
  4. Step 4: Simplify right side
    284,306.12x = 61,587,902,298.00
  5. Step 5: Solve for x
    x = 61,587,902,298.00/284,306.12
  6. Step 6: Final answer
    x = 216,625.31

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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.