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Finding the Fourth Proportional to 559,978.20, 838,217.70 and 402,514.20

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Solution

The fourth proportional to 559,978.20, 838,217.70 and 402,514.20 is: 602,513.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,978.20 : 838,217.70 = 402,514.20 : x
  2. Step 2: Convert to fraction form
    559,978.20/838,217.70 = 402,514.20/x
  3. Step 3: Cross multiply
    559,978.20x = 838,217.70 × 402,514.20
  4. Step 4: Simplify right side
    559,978.20x = 337,394,526,941.34
  5. Step 5: Solve for x
    x = 337,394,526,941.34/559,978.20
  6. Step 6: Final answer
    x = 602,513.68

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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.