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Finding the Fourth Proportional to 386,314.32, 579,446.10 and 133,536

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Solution

The fourth proportional to 386,314.32, 579,446.10 and 133,536 is: 200,295.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,314.32 : 579,446.10 = 133,536 : x
  2. Step 2: Convert to fraction form
    386,314.32/579,446.10 = 133,536/x
  3. Step 3: Cross multiply
    386,314.32x = 579,446.10 × 133,536
  4. Step 4: Simplify right side
    386,314.32x = 77,376,914,409.60
  5. Step 5: Solve for x
    x = 77,376,914,409.60/386,314.32
  6. Step 6: Final answer
    x = 200,295.23

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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.