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Finding the Fourth Proportional to 442,938.10, 664,407.15 and 255,730.90

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Solution

The fourth proportional to 442,938.10, 664,407.15 and 255,730.90 is: 383,596.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,938.10 : 664,407.15 = 255,730.90 : x
  2. Step 2: Convert to fraction form
    442,938.10/664,407.15 = 255,730.90/x
  3. Step 3: Cross multiply
    442,938.10x = 664,407.15 × 255,730.90
  4. Step 4: Simplify right side
    442,938.10x = 169,909,438,435.94
  5. Step 5: Solve for x
    x = 169,909,438,435.94/442,938.10
  6. Step 6: Final answer
    x = 383,596.35

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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.