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Finding the Fourth Proportional to 650,672.21, 897,800.04 and 408,814.65

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Solution

The fourth proportional to 650,672.21, 897,800.04 and 408,814.65 is: 564,084.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,672.21 : 897,800.04 = 408,814.65 : x
  2. Step 2: Convert to fraction form
    650,672.21/897,800.04 = 408,814.65/x
  3. Step 3: Cross multiply
    650,672.21x = 897,800.04 × 408,814.65
  4. Step 4: Simplify right side
    650,672.21x = 367,033,809,122.59
  5. Step 5: Solve for x
    x = 367,033,809,122.59/650,672.21
  6. Step 6: Final answer
    x = 564,084.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.