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Finding the Fourth Proportional to 648,126.80, 972,190.20 and 408,978.35

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Solution

The fourth proportional to 648,126.80, 972,190.20 and 408,978.35 is: 613,467.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,126.80 : 972,190.20 = 408,978.35 : x
  2. Step 2: Convert to fraction form
    648,126.80/972,190.20 = 408,978.35/x
  3. Step 3: Cross multiply
    648,126.80x = 972,190.20 × 408,978.35
  4. Step 4: Simplify right side
    648,126.80x = 397,604,743,882.17
  5. Step 5: Solve for x
    x = 397,604,743,882.17/648,126.80
  6. Step 6: Final answer
    x = 613,467.53

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Double scale
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Similar ratio
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1.5x scale

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.