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Finding the Fourth Proportional to 6,471,966.80, 9,711,449.40 and 2,878,288.40

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Solution

The fourth proportional to 6,471,966.80, 9,711,449.40 and 2,878,288.40 is: 4,318,988.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471,966.80 : 9,711,449.40 = 2,878,288.40 : x
  2. Step 2: Convert to fraction form
    6,471,966.80/9,711,449.40 = 2,878,288.40/x
  3. Step 3: Cross multiply
    6,471,966.80x = 9,711,449.40 × 2,878,288.40
  4. Step 4: Simplify right side
    6,471,966.80x = 27,952,352,155,206.96
  5. Step 5: Solve for x
    x = 27,952,352,155,206.96/6,471,966.80
  6. Step 6: Final answer
    x = 4,318,988.80

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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.