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Finding the Fourth Proportional to 653,083.80, 978,588.90 and 485,122.20

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Solution

The fourth proportional to 653,083.80, 978,588.90 and 485,122.20 is: 726,913.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,083.80 : 978,588.90 = 485,122.20 : x
  2. Step 2: Convert to fraction form
    653,083.80/978,588.90 = 485,122.20/x
  3. Step 3: Cross multiply
    653,083.80x = 978,588.90 × 485,122.20
  4. Step 4: Simplify right side
    653,083.80x = 474,735,200,063.58
  5. Step 5: Solve for x
    x = 474,735,200,063.58/653,083.80
  6. Step 6: Final answer
    x = 726,913.15

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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.