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Finding the Fourth Proportional to 418,319.62, 627,494.14 and 134,018.80

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Solution

The fourth proportional to 418,319.62, 627,494.14 and 134,018.80 is: 201,032.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,319.62 : 627,494.14 = 134,018.80 : x
  2. Step 2: Convert to fraction form
    418,319.62/627,494.14 = 134,018.80/x
  3. Step 3: Cross multiply
    418,319.62x = 627,494.14 × 134,018.80
  4. Step 4: Simplify right side
    418,319.62x = 84,096,011,649.83
  5. Step 5: Solve for x
    x = 84,096,011,649.83/418,319.62
  6. Step 6: Final answer
    x = 201,032.91

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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.