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Finding the Fourth Proportional to 646,387.46, 969,647.40 and 247,363.84

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Solution

The fourth proportional to 646,387.46, 969,647.40 and 247,363.84 is: 371,071.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,387.46 : 969,647.40 = 247,363.84 : x
  2. Step 2: Convert to fraction form
    646,387.46/969,647.40 = 247,363.84/x
  3. Step 3: Cross multiply
    646,387.46x = 969,647.40 × 247,363.84
  4. Step 4: Simplify right side
    646,387.46x = 239,855,704,310.02
  5. Step 5: Solve for x
    x = 239,855,704,310.02/646,387.46
  6. Step 6: Final answer
    x = 371,071.10

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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.