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Finding the Fourth Proportional to 646,874.40, 968,007.60 and 410,330.40

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Solution

The fourth proportional to 646,874.40, 968,007.60 and 410,330.40 is: 614,034.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,874.40 : 968,007.60 = 410,330.40 : x
  2. Step 2: Convert to fraction form
    646,874.40/968,007.60 = 410,330.40/x
  3. Step 3: Cross multiply
    646,874.40x = 968,007.60 × 410,330.40
  4. Step 4: Simplify right side
    646,874.40x = 397,202,945,711.04
  5. Step 5: Solve for x
    x = 397,202,945,711.04/646,874.40
  6. Step 6: Final answer
    x = 614,034.11

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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.