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Finding the Fourth Proportional to 418,045.06, 627,282.06 and 204,808.96

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Solution

The fourth proportional to 418,045.06, 627,282.06 and 204,808.96 is: 307,318.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,045.06 : 627,282.06 = 204,808.96 : x
  2. Step 2: Convert to fraction form
    418,045.06/627,282.06 = 204,808.96/x
  3. Step 3: Cross multiply
    418,045.06x = 627,282.06 × 204,808.96
  4. Step 4: Simplify right side
    418,045.06x = 128,472,986,335.26
  5. Step 5: Solve for x
    x = 128,472,986,335.26/418,045.06
  6. Step 6: Final answer
    x = 307,318.51

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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.