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Finding the Fourth Proportional to 972,002.10, 1,458,003.15 and 865,713.90

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Solution

The fourth proportional to 972,002.10, 1,458,003.15 and 865,713.90 is: 1,298,570.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,002.10 : 1,458,003.15 = 865,713.90 : x
  2. Step 2: Convert to fraction form
    972,002.10/1,458,003.15 = 865,713.90/x
  3. Step 3: Cross multiply
    972,002.10x = 1,458,003.15 × 865,713.90
  4. Step 4: Simplify right side
    972,002.10x = 1,262,213,593,198.78
  5. Step 5: Solve for x
    x = 1,262,213,593,198.78/972,002.10
  6. Step 6: Final answer
    x = 1,298,570.85

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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.