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Finding the Fourth Proportional to 204,394, 306,608.28 and 56,650

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Solution

The fourth proportional to 204,394, 306,608.28 and 56,650 is: 84,979.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,394 : 306,608.28 = 56,650 : x
  2. Step 2: Convert to fraction form
    204,394/306,608.28 = 56,650/x
  3. Step 3: Cross multiply
    204,394x = 306,608.28 × 56,650
  4. Step 4: Simplify right side
    204,394x = 17,369,359,062
  5. Step 5: Solve for x
    x = 17,369,359,062/204,394
  6. Step 6: Final answer
    x = 84,979.79

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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.