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Finding the Fourth Proportional to 360,207.84, 540,311.76 and 138,540

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Solution

The fourth proportional to 360,207.84, 540,311.76 and 138,540 is: 207,810.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,207.84 : 540,311.76 = 138,540 : x
  2. Step 2: Convert to fraction form
    360,207.84/540,311.76 = 138,540/x
  3. Step 3: Cross multiply
    360,207.84x = 540,311.76 × 138,540
  4. Step 4: Simplify right side
    360,207.84x = 74,854,791,230.40
  5. Step 5: Solve for x
    x = 74,854,791,230.40/360,207.84
  6. Step 6: Final answer
    x = 207,810.00

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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.