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Finding the Fourth Proportional to 650,047.20, 975,070.80 and 437,470.80

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Solution

The fourth proportional to 650,047.20, 975,070.80 and 437,470.80 is: 656,206.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,047.20 : 975,070.80 = 437,470.80 : x
  2. Step 2: Convert to fraction form
    650,047.20/975,070.80 = 437,470.80/x
  3. Step 3: Cross multiply
    650,047.20x = 975,070.80 × 437,470.80
  4. Step 4: Simplify right side
    650,047.20x = 426,565,002,932.64
  5. Step 5: Solve for x
    x = 426,565,002,932.64/650,047.20
  6. Step 6: Final answer
    x = 656,206.20

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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.