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Finding the Fourth Proportional to 611,806.20, 917,709.30 and 442,969.80

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Solution

The fourth proportional to 611,806.20, 917,709.30 and 442,969.80 is: 664,454.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,806.20 : 917,709.30 = 442,969.80 : x
  2. Step 2: Convert to fraction form
    611,806.20/917,709.30 = 442,969.80/x
  3. Step 3: Cross multiply
    611,806.20x = 917,709.30 × 442,969.80
  4. Step 4: Simplify right side
    611,806.20x = 406,517,505,079.14
  5. Step 5: Solve for x
    x = 406,517,505,079.14/611,806.20
  6. Step 6: Final answer
    x = 664,454.70

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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.