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Finding the Fourth Proportional to 360,209.84, 540,314.76 and 138,542

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Solution

The fourth proportional to 360,209.84, 540,314.76 and 138,542 is: 207,813.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,209.84 : 540,314.76 = 138,542 : x
  2. Step 2: Convert to fraction form
    360,209.84/540,314.76 = 138,542/x
  3. Step 3: Cross multiply
    360,209.84x = 540,314.76 × 138,542
  4. Step 4: Simplify right side
    360,209.84x = 74,856,287,479.92
  5. Step 5: Solve for x
    x = 74,856,287,479.92/360,209.84
  6. Step 6: Final answer
    x = 207,813.00

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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.