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Finding the Fourth Proportional to 6,474,916.80, 9,690,256.80 and 5,678,654.40

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Solution

The fourth proportional to 6,474,916.80, 9,690,256.80 and 5,678,654.40 is: 8,498,583.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474,916.80 : 9,690,256.80 = 5,678,654.40 : x
  2. Step 2: Convert to fraction form
    6,474,916.80/9,690,256.80 = 5,678,654.40/x
  3. Step 3: Cross multiply
    6,474,916.80x = 9,690,256.80 × 5,678,654.40
  4. Step 4: Simplify right side
    6,474,916.80x = 55,027,619,414,449.93
  5. Step 5: Solve for x
    x = 55,027,619,414,449.93/6,474,916.80
  6. Step 6: Final answer
    x = 8,498,583.24

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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.