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Finding the Fourth Proportional to 408,695.92, 612,646.28 and 195,408.40

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Solution

The fourth proportional to 408,695.92, 612,646.28 and 195,408.40 is: 292,922.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,695.92 : 612,646.28 = 195,408.40 : x
  2. Step 2: Convert to fraction form
    408,695.92/612,646.28 = 195,408.40/x
  3. Step 3: Cross multiply
    408,695.92x = 612,646.28 × 195,408.40
  4. Step 4: Simplify right side
    408,695.92x = 119,716,229,340.75
  5. Step 5: Solve for x
    x = 119,716,229,340.75/408,695.92
  6. Step 6: Final answer
    x = 292,922.50

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1.5x scale

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.