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Finding the Fourth Proportional to 978,591.84, 1,467,535.68 and 338,721.78

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Solution

The fourth proportional to 978,591.84, 1,467,535.68 and 338,721.78 is: 507,960.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,591.84 : 1,467,535.68 = 338,721.78 : x
  2. Step 2: Convert to fraction form
    978,591.84/1,467,535.68 = 338,721.78/x
  3. Step 3: Cross multiply
    978,591.84x = 1,467,535.68 × 338,721.78
  4. Step 4: Simplify right side
    978,591.84x = 497,086,297,743.11
  5. Step 5: Solve for x
    x = 497,086,297,743.11/978,591.84
  6. Step 6: Final answer
    x = 507,960.80

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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.