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Finding the Fourth Proportional to 311,465,999.80, 467,198,999.70 and 260,825,577.40

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Solution

The fourth proportional to 311,465,999.80, 467,198,999.70 and 260,825,577.40 is: 391,238,366.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,465,999.80 : 467,198,999.70 = 260,825,577.40 : x
  2. Step 2: Convert to fraction form
    311,465,999.80/467,198,999.70 = 260,825,577.40/x
  3. Step 3: Cross multiply
    311,465,999.80x = 467,198,999.70 × 260,825,577.40
  4. Step 4: Simplify right side
    311,465,999.80x = 121,857,448,857,454,928
  5. Step 5: Solve for x
    x = 121,857,448,857,454,928/311,465,999.80
  6. Step 6: Final answer
    x = 391,238,366.10

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1.5x scale

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.