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Finding the Fourth Proportional to 437,625.20, 656,437.80 and 280,031.60

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Solution

The fourth proportional to 437,625.20, 656,437.80 and 280,031.60 is: 420,047.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,625.20 : 656,437.80 = 280,031.60 : x
  2. Step 2: Convert to fraction form
    437,625.20/656,437.80 = 280,031.60/x
  3. Step 3: Cross multiply
    437,625.20x = 656,437.80 × 280,031.60
  4. Step 4: Simplify right side
    437,625.20x = 183,823,327,434.48
  5. Step 5: Solve for x
    x = 183,823,327,434.48/437,625.20
  6. Step 6: Final answer
    x = 420,047.40

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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.