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Finding the Fourth Proportional to 284,227.52, 392,233.59 and 156,902.81

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Solution

The fourth proportional to 284,227.52, 392,233.59 and 156,902.81 is: 216,525.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,227.52 : 392,233.59 = 156,902.81 : x
  2. Step 2: Convert to fraction form
    284,227.52/392,233.59 = 156,902.81/x
  3. Step 3: Cross multiply
    284,227.52x = 392,233.59 × 156,902.81
  4. Step 4: Simplify right side
    284,227.52x = 61,542,550,486.22
  5. Step 5: Solve for x
    x = 61,542,550,486.22/284,227.52
  6. Step 6: Final answer
    x = 216,525.66

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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.