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Finding the Fourth Proportional to 646,644.60, 969,966.90 and 646,644.60

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Solution

The fourth proportional to 646,644.60, 969,966.90 and 646,644.60 is: 969,966.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,644.60 : 969,966.90 = 646,644.60 : x
  2. Step 2: Convert to fraction form
    646,644.60/969,966.90 = 646,644.60/x
  3. Step 3: Cross multiply
    646,644.60x = 969,966.90 × 646,644.60
  4. Step 4: Simplify right side
    646,644.60x = 627,223,858,063.74
  5. Step 5: Solve for x
    x = 627,223,858,063.74/646,644.60
  6. Step 6: Final answer
    x = 969,966.90

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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.