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Finding the Fourth Proportional to 282,679,940.80, 424,047,904.80 and 98,419,067.20

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Solution

The fourth proportional to 282,679,940.80, 424,047,904.80 and 98,419,067.20 is: 147,638,347.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,679,940.80 : 424,047,904.80 = 98,419,067.20 : x
  2. Step 2: Convert to fraction form
    282,679,940.80/424,047,904.80 = 98,419,067.20/x
  3. Step 3: Cross multiply
    282,679,940.80x = 424,047,904.80 × 98,419,067.20
  4. Step 4: Simplify right side
    282,679,940.80x = 41,734,399,238,530,408
  5. Step 5: Solve for x
    x = 41,734,399,238,530,408/282,679,940.80
  6. Step 6: Final answer
    x = 147,638,347.17

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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.