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Finding the Fourth Proportional to 287,585.55, 431,378.33 and 259,591.95

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Solution

The fourth proportional to 287,585.55, 431,378.33 and 259,591.95 is: 389,387.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,585.55 : 431,378.33 = 259,591.95 : x
  2. Step 2: Convert to fraction form
    287,585.55/431,378.33 = 259,591.95/x
  3. Step 3: Cross multiply
    287,585.55x = 431,378.33 × 259,591.95
  4. Step 4: Simplify right side
    287,585.55x = 111,982,340,574.48
  5. Step 5: Solve for x
    x = 111,982,340,574.48/287,585.55
  6. Step 6: Final answer
    x = 389,387.93

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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.