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Finding the Fourth Proportional to 284,462,675.60, 426,694,013.40 and 212,799,059.60

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Solution

The fourth proportional to 284,462,675.60, 426,694,013.40 and 212,799,059.60 is: 319,198,589.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,462,675.60 : 426,694,013.40 = 212,799,059.60 : x
  2. Step 2: Convert to fraction form
    284,462,675.60/426,694,013.40 = 212,799,059.60/x
  3. Step 3: Cross multiply
    284,462,675.60x = 426,694,013.40 × 212,799,059.60
  4. Step 4: Simplify right side
    284,462,675.60x = 90,800,084,788,469,792
  5. Step 5: Solve for x
    x = 90,800,084,788,469,792/284,462,675.60
  6. Step 6: Final answer
    x = 319,198,589.40

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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.