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Finding the Fourth Proportional to 279,618.60, 385,913.92 and 202,345.14

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Solution

The fourth proportional to 279,618.60, 385,913.92 and 202,345.14 is: 279,265.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,618.60 : 385,913.92 = 202,345.14 : x
  2. Step 2: Convert to fraction form
    279,618.60/385,913.92 = 202,345.14/x
  3. Step 3: Cross multiply
    279,618.60x = 385,913.92 × 202,345.14
  4. Step 4: Simplify right side
    279,618.60x = 78,087,806,170.35
  5. Step 5: Solve for x
    x = 78,087,806,170.35/279,618.60
  6. Step 6: Final answer
    x = 279,265.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.