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Finding the Fourth Proportional to 458,269.92, 632,441.52 and 257,078.88

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Solution

The fourth proportional to 458,269.92, 632,441.52 and 257,078.88 is: 354,785.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,269.92 : 632,441.52 = 257,078.88 : x
  2. Step 2: Convert to fraction form
    458,269.92/632,441.52 = 257,078.88/x
  3. Step 3: Cross multiply
    458,269.92x = 632,441.52 × 257,078.88
  4. Step 4: Simplify right side
    458,269.92x = 162,587,357,627.10
  5. Step 5: Solve for x
    x = 162,587,357,627.10/458,269.92
  6. Step 6: Final answer
    x = 354,785.14

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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.