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Finding the Fourth Proportional to 458,832, 632,913.60 and 288,770.88

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Solution

The fourth proportional to 458,832, 632,913.60 and 288,770.88 is: 398,331.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,832 : 632,913.60 = 288,770.88 : x
  2. Step 2: Convert to fraction form
    458,832/632,913.60 = 288,770.88/x
  3. Step 3: Cross multiply
    458,832x = 632,913.60 × 288,770.88
  4. Step 4: Simplify right side
    458,832x = 182,767,017,235.97
  5. Step 5: Solve for x
    x = 182,767,017,235.97/458,832
  6. Step 6: Final answer
    x = 398,331.02

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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.