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Finding the Fourth Proportional to 438,866,469.80, 658,299,704.70 and 398,689,530.20

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Solution

The fourth proportional to 438,866,469.80, 658,299,704.70 and 398,689,530.20 is: 598,034,295.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,866,469.80 : 658,299,704.70 = 398,689,530.20 : x
  2. Step 2: Convert to fraction form
    438,866,469.80/658,299,704.70 = 398,689,530.20/x
  3. Step 3: Cross multiply
    438,866,469.80x = 658,299,704.70 × 398,689,530.20
  4. Step 4: Simplify right side
    438,866,469.80x = 262,457,199,997,641,728
  5. Step 5: Solve for x
    x = 262,457,199,997,641,728/438,866,469.80
  6. Step 6: Final answer
    x = 598,034,295.30

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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.