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Finding the Fourth Proportional to 653,576.20, 978,809.10 and 653,576.20

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Solution

The fourth proportional to 653,576.20, 978,809.10 and 653,576.20 is: 978,809.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,576.20 : 978,809.10 = 653,576.20 : x
  2. Step 2: Convert to fraction form
    653,576.20/978,809.10 = 653,576.20/x
  3. Step 3: Cross multiply
    653,576.20x = 978,809.10 × 653,576.20
  4. Step 4: Simplify right side
    653,576.20x = 639,726,332,103.42
  5. Step 5: Solve for x
    x = 639,726,332,103.42/653,576.20
  6. Step 6: Final answer
    x = 978,809.10

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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.