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Finding the Fourth Proportional to 279,217.67, 418,743.30 and 101,683.16

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Solution

The fourth proportional to 279,217.67, 418,743.30 and 101,683.16 is: 152,494.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,217.67 : 418,743.30 = 101,683.16 : x
  2. Step 2: Convert to fraction form
    279,217.67/418,743.30 = 101,683.16/x
  3. Step 3: Cross multiply
    279,217.67x = 418,743.30 × 101,683.16
  4. Step 4: Simplify right side
    279,217.67x = 42,579,141,561.62
  5. Step 5: Solve for x
    x = 42,579,141,561.62/279,217.67
  6. Step 6: Final answer
    x = 152,494.44

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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.