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Finding the Fourth Proportional to 282,679,938.80, 424,047,901.80 and 98,419,065.20

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Solution

The fourth proportional to 282,679,938.80, 424,047,901.80 and 98,419,065.20 is: 147,638,344.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,679,938.80 : 424,047,901.80 = 98,419,065.20 : x
  2. Step 2: Convert to fraction form
    282,679,938.80/424,047,901.80 = 98,419,065.20/x
  3. Step 3: Cross multiply
    282,679,938.80x = 424,047,901.80 × 98,419,065.20
  4. Step 4: Simplify right side
    282,679,938.80x = 41,734,398,095,177,400
  5. Step 5: Solve for x
    x = 41,734,398,095,177,400/282,679,938.80
  6. Step 6: Final answer
    x = 147,638,344.17

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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.