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Finding the Fourth Proportional to 501,098.60, 750,773.10 and 431,114.60

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Solution

The fourth proportional to 501,098.60, 750,773.10 and 431,114.60 is: 645,919.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,098.60 : 750,773.10 = 431,114.60 : x
  2. Step 2: Convert to fraction form
    501,098.60/750,773.10 = 431,114.60/x
  3. Step 3: Cross multiply
    501,098.60x = 750,773.10 × 431,114.60
  4. Step 4: Simplify right side
    501,098.60x = 323,669,244,697.26
  5. Step 5: Solve for x
    x = 323,669,244,697.26/501,098.60
  6. Step 6: Final answer
    x = 645,919.28

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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.