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Finding the Fourth Proportional to 578,428.20, 868,679.10 and 420,834.60

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Solution

The fourth proportional to 578,428.20, 868,679.10 and 420,834.60 is: 632,006.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,428.20 : 868,679.10 = 420,834.60 : x
  2. Step 2: Convert to fraction form
    578,428.20/868,679.10 = 420,834.60/x
  3. Step 3: Cross multiply
    578,428.20x = 868,679.10 × 420,834.60
  4. Step 4: Simplify right side
    578,428.20x = 365,570,221,576.86
  5. Step 5: Solve for x
    x = 365,570,221,576.86/578,428.20
  6. Step 6: Final answer
    x = 632,006.22

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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.