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Finding the Fourth Proportional to 653,005.20, 978,195.60 and 440,428.80

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Solution

The fourth proportional to 653,005.20, 978,195.60 and 440,428.80 is: 659,758.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,005.20 : 978,195.60 = 440,428.80 : x
  2. Step 2: Convert to fraction form
    653,005.20/978,195.60 = 440,428.80/x
  3. Step 3: Cross multiply
    653,005.20x = 978,195.60 × 440,428.80
  4. Step 4: Simplify right side
    653,005.20x = 430,825,514,273.28
  5. Step 5: Solve for x
    x = 430,825,514,273.28/653,005.20
  6. Step 6: Final answer
    x = 659,758.17

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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.