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Finding the Fourth Proportional to 191,454.30, 287,290.80 and 132,332.40

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Solution

The fourth proportional to 191,454.30, 287,290.80 and 132,332.40 is: 198,574.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,454.30 : 287,290.80 = 132,332.40 : x
  2. Step 2: Convert to fraction form
    191,454.30/287,290.80 = 132,332.40/x
  3. Step 3: Cross multiply
    191,454.30x = 287,290.80 × 132,332.40
  4. Step 4: Simplify right side
    191,454.30x = 38,017,881,061.92
  5. Step 5: Solve for x
    x = 38,017,881,061.92/191,454.30
  6. Step 6: Final answer
    x = 198,574.18

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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.