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Finding the Fourth Proportional to 653,072.20, 978,398.70 and 371,753.80

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Solution

The fourth proportional to 653,072.20, 978,398.70 and 371,753.80 is: 556,942.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,072.20 : 978,398.70 = 371,753.80 : x
  2. Step 2: Convert to fraction form
    653,072.20/978,398.70 = 371,753.80/x
  3. Step 3: Cross multiply
    653,072.20x = 978,398.70 × 371,753.80
  4. Step 4: Simplify right side
    653,072.20x = 363,723,434,640.06
  5. Step 5: Solve for x
    x = 363,723,434,640.06/653,072.20
  6. Step 6: Final answer
    x = 556,942.15

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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.