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Finding the Fourth Proportional to 442,838.10, 664,257.15 and 255,630.90

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Solution

The fourth proportional to 442,838.10, 664,257.15 and 255,630.90 is: 383,446.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,838.10 : 664,257.15 = 255,630.90 : x
  2. Step 2: Convert to fraction form
    442,838.10/664,257.15 = 255,630.90/x
  3. Step 3: Cross multiply
    442,838.10x = 664,257.15 × 255,630.90
  4. Step 4: Simplify right side
    442,838.10x = 169,804,653,085.94
  5. Step 5: Solve for x
    x = 169,804,653,085.94/442,838.10
  6. Step 6: Final answer
    x = 383,446.35

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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.