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Finding the Fourth Proportional to 520,771.08, 781,306.38 and 165,839.88

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Solution

The fourth proportional to 520,771.08, 781,306.38 and 165,839.88 is: 248,807.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,771.08 : 781,306.38 = 165,839.88 : x
  2. Step 2: Convert to fraction form
    520,771.08/781,306.38 = 165,839.88/x
  3. Step 3: Cross multiply
    520,771.08x = 781,306.38 × 165,839.88
  4. Step 4: Simplify right side
    520,771.08x = 129,571,756,302.43
  5. Step 5: Solve for x
    x = 129,571,756,302.43/520,771.08
  6. Step 6: Final answer
    x = 248,807.51

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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.