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Finding the Fourth Proportional to 550,802, 825,427.66 and 437,981.52

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Solution

The fourth proportional to 550,802, 825,427.66 and 437,981.52 is: 656,355.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,802 : 825,427.66 = 437,981.52 : x
  2. Step 2: Convert to fraction form
    550,802/825,427.66 = 437,981.52/x
  3. Step 3: Cross multiply
    550,802x = 825,427.66 × 437,981.52
  4. Step 4: Simplify right side
    550,802x = 361,522,061,176.84
  5. Step 5: Solve for x
    x = 361,522,061,176.84/550,802
  6. Step 6: Final answer
    x = 656,355.75

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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.