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Finding the Fourth Proportional to 458,686.72, 632,686.08 and 288,778.24

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Solution

The fourth proportional to 458,686.72, 632,686.08 and 288,778.24 is: 398,324.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,686.72 : 632,686.08 = 288,778.24 : x
  2. Step 2: Convert to fraction form
    458,686.72/632,686.08 = 288,778.24/x
  3. Step 3: Cross multiply
    458,686.72x = 632,686.08 × 288,778.24
  4. Step 4: Simplify right side
    458,686.72x = 182,705,972,654.90
  5. Step 5: Solve for x
    x = 182,705,972,654.90/458,686.72
  6. Step 6: Final answer
    x = 398,324.10

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1.5x scale

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.