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Finding the Fourth Proportional to 642,659.10, 963,988.65 and 540,015.90

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Solution

The fourth proportional to 642,659.10, 963,988.65 and 540,015.90 is: 810,023.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,659.10 : 963,988.65 = 540,015.90 : x
  2. Step 2: Convert to fraction form
    642,659.10/963,988.65 = 540,015.90/x
  3. Step 3: Cross multiply
    642,659.10x = 963,988.65 × 540,015.90
  4. Step 4: Simplify right side
    642,659.10x = 520,569,198,419.54
  5. Step 5: Solve for x
    x = 520,569,198,419.54/642,659.10
  6. Step 6: Final answer
    x = 810,023.85

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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.