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Finding the Fourth Proportional to 200,377.60, 276,454 and 115,492.88

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Solution

The fourth proportional to 200,377.60, 276,454 and 115,492.88 is: 159,341.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,377.60 : 276,454 = 115,492.88 : x
  2. Step 2: Convert to fraction form
    200,377.60/276,454 = 115,492.88/x
  3. Step 3: Cross multiply
    200,377.60x = 276,454 × 115,492.88
  4. Step 4: Simplify right side
    200,377.60x = 31,928,468,647.52
  5. Step 5: Solve for x
    x = 31,928,468,647.52/200,377.60
  6. Step 6: Final answer
    x = 159,341.51

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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.