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Finding the Fourth Proportional to 647,118.72, 970,051.14 and 247,451.76

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Solution

The fourth proportional to 647,118.72, 970,051.14 and 247,451.76 is: 370,937.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,118.72 : 970,051.14 = 247,451.76 : x
  2. Step 2: Convert to fraction form
    647,118.72/970,051.14 = 247,451.76/x
  3. Step 3: Cross multiply
    647,118.72x = 970,051.14 × 247,451.76
  4. Step 4: Simplify right side
    647,118.72x = 240,040,861,883.01
  5. Step 5: Solve for x
    x = 240,040,861,883.01/647,118.72
  6. Step 6: Final answer
    x = 370,937.90

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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.