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Finding the Fourth Proportional to 610,939.20, 843,100.72 and 339,008.16

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Solution

The fourth proportional to 610,939.20, 843,100.72 and 339,008.16 is: 467,833.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,939.20 : 843,100.72 = 339,008.16 : x
  2. Step 2: Convert to fraction form
    610,939.20/843,100.72 = 339,008.16/x
  3. Step 3: Cross multiply
    610,939.20x = 843,100.72 × 339,008.16
  4. Step 4: Simplify right side
    610,939.20x = 285,818,023,781.88
  5. Step 5: Solve for x
    x = 285,818,023,781.88/610,939.20
  6. Step 6: Final answer
    x = 467,833.83

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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.