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Finding the Fourth Proportional to 317,806.92, 438,214.14 and 202,934.52

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Solution

The fourth proportional to 317,806.92, 438,214.14 and 202,934.52 is: 279,820.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,806.92 : 438,214.14 = 202,934.52 : x
  2. Step 2: Convert to fraction form
    317,806.92/438,214.14 = 202,934.52/x
  3. Step 3: Cross multiply
    317,806.92x = 438,214.14 × 202,934.52
  4. Step 4: Simplify right side
    317,806.92x = 88,928,776,158.11
  5. Step 5: Solve for x
    x = 88,928,776,158.11/317,806.92
  6. Step 6: Final answer
    x = 279,820.14

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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.