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Finding the Fourth Proportional to 515,543.90, 773,881.62 and 409,608.86

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Solution

The fourth proportional to 515,543.90, 773,881.62 and 409,608.86 is: 614,862.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,543.90 : 773,881.62 = 409,608.86 : x
  2. Step 2: Convert to fraction form
    515,543.90/773,881.62 = 409,608.86/x
  3. Step 3: Cross multiply
    515,543.90x = 773,881.62 × 409,608.86
  4. Step 4: Simplify right side
    515,543.90x = 316,988,764,273.75
  5. Step 5: Solve for x
    x = 316,988,764,273.75/515,543.90
  6. Step 6: Final answer
    x = 614,862.80

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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.