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Finding the Fourth Proportional to 469,980.53, 648,238.14 and 431,343.02

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Solution

The fourth proportional to 469,980.53, 648,238.14 and 431,343.02 is: 594,945.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,980.53 : 648,238.14 = 431,343.02 : x
  2. Step 2: Convert to fraction form
    469,980.53/648,238.14 = 431,343.02/x
  3. Step 3: Cross multiply
    469,980.53x = 648,238.14 × 431,343.02
  4. Step 4: Simplify right side
    469,980.53x = 279,612,998,607.38
  5. Step 5: Solve for x
    x = 279,612,998,607.38/469,980.53
  6. Step 6: Final answer
    x = 594,945.92

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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.