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Finding the Fourth Proportional to 510,463.80, 765,695.96 and 210,614.82

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Solution

The fourth proportional to 510,463.80, 765,695.96 and 210,614.82 is: 315,922.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,463.80 : 765,695.96 = 210,614.82 : x
  2. Step 2: Convert to fraction form
    510,463.80/765,695.96 = 210,614.82/x
  3. Step 3: Cross multiply
    510,463.80x = 765,695.96 × 210,614.82
  4. Step 4: Simplify right side
    510,463.80x = 161,266,915,737.05
  5. Step 5: Solve for x
    x = 161,266,915,737.05/510,463.80
  6. Step 6: Final answer
    x = 315,922.34

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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.