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Finding the Fourth Proportional to 282,679,932.80, 424,047,892.80 and 98,419,059.20

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Solution

The fourth proportional to 282,679,932.80, 424,047,892.80 and 98,419,059.20 is: 147,638,335.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,679,932.80 : 424,047,892.80 = 98,419,059.20 : x
  2. Step 2: Convert to fraction form
    282,679,932.80/424,047,892.80 = 98,419,059.20/x
  3. Step 3: Cross multiply
    282,679,932.80x = 424,047,892.80 × 98,419,059.20
  4. Step 4: Simplify right side
    282,679,932.80x = 41,734,394,665,118,456
  5. Step 5: Solve for x
    x = 41,734,394,665,118,456/282,679,932.80
  6. Step 6: Final answer
    x = 147,638,335.17

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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.