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Finding the Fourth Proportional to 458,286, 632,439 and 257,086.32

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Solution

The fourth proportional to 458,286, 632,439 and 257,086.32 is: 354,781.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,286 : 632,439 = 257,086.32 : x
  2. Step 2: Convert to fraction form
    458,286/632,439 = 257,086.32/x
  3. Step 3: Cross multiply
    458,286x = 632,439 × 257,086.32
  4. Step 4: Simplify right side
    458,286x = 162,591,415,134.48
  5. Step 5: Solve for x
    x = 162,591,415,134.48/458,286
  6. Step 6: Final answer
    x = 354,781.55

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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.