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Finding the Fourth Proportional to 284,222.56, 392,227.66 and 156,898.30

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Solution

The fourth proportional to 284,222.56, 392,227.66 and 156,898.30 is: 216,519.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,222.56 : 392,227.66 = 156,898.30 : x
  2. Step 2: Convert to fraction form
    284,222.56/392,227.66 = 156,898.30/x
  3. Step 3: Cross multiply
    284,222.56x = 392,227.66 × 156,898.30
  4. Step 4: Simplify right side
    284,222.56x = 61,539,853,066.98
  5. Step 5: Solve for x
    x = 61,539,853,066.98/284,222.56
  6. Step 6: Final answer
    x = 216,519.95

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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.