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Finding the Fourth Proportional to 520,912.80, 781,369.20 and 165,962.70

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Solution

The fourth proportional to 520,912.80, 781,369.20 and 165,962.70 is: 248,944.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,912.80 : 781,369.20 = 165,962.70 : x
  2. Step 2: Convert to fraction form
    520,912.80/781,369.20 = 165,962.70/x
  3. Step 3: Cross multiply
    520,912.80x = 781,369.20 × 165,962.70
  4. Step 4: Simplify right side
    520,912.80x = 129,678,142,128.84
  5. Step 5: Solve for x
    x = 129,678,142,128.84/520,912.80
  6. Step 6: Final answer
    x = 248,944.05

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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.