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Finding the Fourth Proportional to 646,385.70, 969,644.77 and 247,362.09

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Solution

The fourth proportional to 646,385.70, 969,644.77 and 247,362.09 is: 371,068.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,385.70 : 969,644.77 = 247,362.09 : x
  2. Step 2: Convert to fraction form
    646,385.70/969,644.77 = 247,362.09/x
  3. Step 3: Cross multiply
    646,385.70x = 969,644.77 × 247,362.09
  4. Step 4: Simplify right side
    646,385.70x = 239,853,354,001.61
  5. Step 5: Solve for x
    x = 239,853,354,001.61/646,385.70
  6. Step 6: Final answer
    x = 371,068.47

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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.