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Finding the Fourth Proportional to 646,872.70, 970,481.85 and 577,234.30

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Solution

The fourth proportional to 646,872.70, 970,481.85 and 577,234.30 is: 866,005.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,872.70 : 970,481.85 = 577,234.30 : x
  2. Step 2: Convert to fraction form
    646,872.70/970,481.85 = 577,234.30/x
  3. Step 3: Cross multiply
    646,872.70x = 970,481.85 × 577,234.30
  4. Step 4: Simplify right side
    646,872.70x = 560,195,411,347.46
  5. Step 5: Solve for x
    x = 560,195,411,347.46/646,872.70
  6. Step 6: Final answer
    x = 866,005.65

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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.