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Finding the Fourth Proportional to 284,182.06, 392,171.28 and 156,857.70

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Solution

The fourth proportional to 284,182.06, 392,171.28 and 156,857.70 is: 216,463.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,182.06 : 392,171.28 = 156,857.70 : x
  2. Step 2: Convert to fraction form
    284,182.06/392,171.28 = 156,857.70/x
  3. Step 3: Cross multiply
    284,182.06x = 392,171.28 × 156,857.70
  4. Step 4: Simplify right side
    284,182.06x = 61,515,084,986.86
  5. Step 5: Solve for x
    x = 61,515,084,986.86/284,182.06
  6. Step 6: Final answer
    x = 216,463.65

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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.