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Finding the Fourth Proportional to 321,712.64, 482,491.20 and 134,864

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Solution

The fourth proportional to 321,712.64, 482,491.20 and 134,864 is: 202,263.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,712.64 : 482,491.20 = 134,864 : x
  2. Step 2: Convert to fraction form
    321,712.64/482,491.20 = 134,864/x
  3. Step 3: Cross multiply
    321,712.64x = 482,491.20 × 134,864
  4. Step 4: Simplify right side
    321,712.64x = 65,070,693,196.80
  5. Step 5: Solve for x
    x = 65,070,693,196.80/321,712.64
  6. Step 6: Final answer
    x = 202,263.40

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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.