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Finding the Fourth Proportional to 317,663.25, 438,473.70 and 204,486

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Solution

The fourth proportional to 317,663.25, 438,473.70 and 204,486 is: 282,254.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,663.25 : 438,473.70 = 204,486 : x
  2. Step 2: Convert to fraction form
    317,663.25/438,473.70 = 204,486/x
  3. Step 3: Cross multiply
    317,663.25x = 438,473.70 × 204,486
  4. Step 4: Simplify right side
    317,663.25x = 89,661,733,018.20
  5. Step 5: Solve for x
    x = 89,661,733,018.20/317,663.25
  6. Step 6: Final answer
    x = 282,254.03

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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.