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Finding the Fourth Proportional to 284,078.26, 392,016.54 and 156,752.20

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Solution

The fourth proportional to 284,078.26, 392,016.54 and 156,752.20 is: 216,311.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,078.26 : 392,016.54 = 156,752.20 : x
  2. Step 2: Convert to fraction form
    284,078.26/392,016.54 = 156,752.20/x
  3. Step 3: Cross multiply
    284,078.26x = 392,016.54 × 156,752.20
  4. Step 4: Simplify right side
    284,078.26x = 61,449,455,081.39
  5. Step 5: Solve for x
    x = 61,449,455,081.39/284,078.26
  6. Step 6: Final answer
    x = 216,311.71

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1.5x scale

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.