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Finding the Fourth Proportional to 437,570.70, 656,356.05 and 408,046.20

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Solution

The fourth proportional to 437,570.70, 656,356.05 and 408,046.20 is: 612,069.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,570.70 : 656,356.05 = 408,046.20 : x
  2. Step 2: Convert to fraction form
    437,570.70/656,356.05 = 408,046.20/x
  3. Step 3: Cross multiply
    437,570.70x = 656,356.05 × 408,046.20
  4. Step 4: Simplify right side
    437,570.70x = 267,823,592,049.51
  5. Step 5: Solve for x
    x = 267,823,592,049.51/437,570.70
  6. Step 6: Final answer
    x = 612,069.30

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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.