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Finding the Fourth Proportional to 243,486, 336,010.68 and 147,974.85

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Solution

The fourth proportional to 243,486, 336,010.68 and 147,974.85 is: 204,205.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,486 : 336,010.68 = 147,974.85 : x
  2. Step 2: Convert to fraction form
    243,486/336,010.68 = 147,974.85/x
  3. Step 3: Cross multiply
    243,486x = 336,010.68 × 147,974.85
  4. Step 4: Simplify right side
    243,486x = 49,721,129,971.40
  5. Step 5: Solve for x
    x = 49,721,129,971.40/243,486
  6. Step 6: Final answer
    x = 204,205.29

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1.5x scale

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.