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Finding the Fourth Proportional to 665,538.40, 997,724.40 and 399,404.80

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Solution

The fourth proportional to 665,538.40, 997,724.40 and 399,404.80 is: 598,757.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,538.40 : 997,724.40 = 399,404.80 : x
  2. Step 2: Convert to fraction form
    665,538.40/997,724.40 = 399,404.80/x
  3. Step 3: Cross multiply
    665,538.40x = 997,724.40 × 399,404.80
  4. Step 4: Simplify right side
    665,538.40x = 398,495,914,437.12
  5. Step 5: Solve for x
    x = 398,495,914,437.12/665,538.40
  6. Step 6: Final answer
    x = 598,757.21

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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.