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Finding the Fourth Proportional to 647,234.20, 970,559.70 and 247,742.20

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Solution

The fourth proportional to 647,234.20, 970,559.70 and 247,742.20 is: 371,501.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,234.20 : 970,559.70 = 247,742.20 : x
  2. Step 2: Convert to fraction form
    647,234.20/970,559.70 = 247,742.20/x
  3. Step 3: Cross multiply
    647,234.20x = 970,559.70 × 247,742.20
  4. Step 4: Simplify right side
    647,234.20x = 240,448,595,309.34
  5. Step 5: Solve for x
    x = 240,448,595,309.34/647,234.20
  6. Step 6: Final answer
    x = 371,501.68

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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.