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Finding the Fourth Proportional to 442,925.70, 664,388.55 and 310,215.30

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Solution

The fourth proportional to 442,925.70, 664,388.55 and 310,215.30 is: 465,322.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,925.70 : 664,388.55 = 310,215.30 : x
  2. Step 2: Convert to fraction form
    442,925.70/664,388.55 = 310,215.30/x
  3. Step 3: Cross multiply
    442,925.70x = 664,388.55 × 310,215.30
  4. Step 4: Simplify right side
    442,925.70x = 206,103,493,354.82
  5. Step 5: Solve for x
    x = 206,103,493,354.82/442,925.70
  6. Step 6: Final answer
    x = 465,322.95

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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.