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Finding the Fourth Proportional to 662,132.40, 990,865.80 and 461,511.60

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Solution

The fourth proportional to 662,132.40, 990,865.80 and 461,511.60 is: 690,641.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,132.40 : 990,865.80 = 461,511.60 : x
  2. Step 2: Convert to fraction form
    662,132.40/990,865.80 = 461,511.60/x
  3. Step 3: Cross multiply
    662,132.40x = 990,865.80 × 461,511.60
  4. Step 4: Simplify right side
    662,132.40x = 457,296,060,743.28
  5. Step 5: Solve for x
    x = 457,296,060,743.28/662,132.40
  6. Step 6: Final answer
    x = 690,641.42

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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.