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Finding the Fourth Proportional to 520,715.16, 781,079.22 and 165,727.80

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Solution

The fourth proportional to 520,715.16, 781,079.22 and 165,727.80 is: 248,593.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,715.16 : 781,079.22 = 165,727.80 : x
  2. Step 2: Convert to fraction form
    520,715.16/781,079.22 = 165,727.80/x
  3. Step 3: Cross multiply
    520,715.16x = 781,079.22 × 165,727.80
  4. Step 4: Simplify right side
    520,715.16x = 129,446,540,756.32
  5. Step 5: Solve for x
    x = 129,446,540,756.32/520,715.16
  6. Step 6: Final answer
    x = 248,593.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.