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Finding the Fourth Proportional to 489,419,139.80, 734,128,709.70 and 282,511,443.80

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Solution

The fourth proportional to 489,419,139.80, 734,128,709.70 and 282,511,443.80 is: 423,767,165.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,419,139.80 : 734,128,709.70 = 282,511,443.80 : x
  2. Step 2: Convert to fraction form
    489,419,139.80/734,128,709.70 = 282,511,443.80/x
  3. Step 3: Cross multiply
    489,419,139.80x = 734,128,709.70 × 282,511,443.80
  4. Step 4: Simplify right side
    489,419,139.80x = 207,399,761,712,378,080
  5. Step 5: Solve for x
    x = 207,399,761,712,378,080/489,419,139.80
  6. Step 6: Final answer
    x = 423,767,165.70

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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.