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Finding the Fourth Proportional to 321,729.96, 482,342.58 and 203,152.17

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Solution

The fourth proportional to 321,729.96, 482,342.58 and 203,152.17 is: 304,568.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,729.96 : 482,342.58 = 203,152.17 : x
  2. Step 2: Convert to fraction form
    321,729.96/482,342.58 = 203,152.17/x
  3. Step 3: Cross multiply
    321,729.96x = 482,342.58 × 203,152.17
  4. Step 4: Simplify right side
    321,729.96x = 97,988,941,810.40
  5. Step 5: Solve for x
    x = 97,988,941,810.40/321,729.96
  6. Step 6: Final answer
    x = 304,568.91

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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.