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Finding the Fourth Proportional to 478,463.80, 659,836.52 and 349,197.52

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Solution

The fourth proportional to 478,463.80, 659,836.52 and 349,197.52 is: 481,568.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,463.80 : 659,836.52 = 349,197.52 : x
  2. Step 2: Convert to fraction form
    478,463.80/659,836.52 = 349,197.52/x
  3. Step 3: Cross multiply
    478,463.80x = 659,836.52 × 349,197.52
  4. Step 4: Simplify right side
    478,463.80x = 230,413,276,389.43
  5. Step 5: Solve for x
    x = 230,413,276,389.43/478,463.80
  6. Step 6: Final answer
    x = 481,568.88

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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.