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Finding the Fourth Proportional to 442,814.20, 664,221.30 and 376,548.10

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Solution

The fourth proportional to 442,814.20, 664,221.30 and 376,548.10 is: 564,822.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,814.20 : 664,221.30 = 376,548.10 : x
  2. Step 2: Convert to fraction form
    442,814.20/664,221.30 = 376,548.10/x
  3. Step 3: Cross multiply
    442,814.20x = 664,221.30 × 376,548.10
  4. Step 4: Simplify right side
    442,814.20x = 250,111,268,494.53
  5. Step 5: Solve for x
    x = 250,111,268,494.53/442,814.20
  6. Step 6: Final answer
    x = 564,822.15

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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.