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Finding the Fourth Proportional to 312,568.27, 431,322.81 and 176,607.95

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Solution

The fourth proportional to 312,568.27, 431,322.81 and 176,607.95 is: 243,706.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,568.27 : 431,322.81 = 176,607.95 : x
  2. Step 2: Convert to fraction form
    312,568.27/431,322.81 = 176,607.95/x
  3. Step 3: Cross multiply
    312,568.27x = 431,322.81 × 176,607.95
  4. Step 4: Simplify right side
    312,568.27x = 76,175,034,443.45
  5. Step 5: Solve for x
    x = 76,175,034,443.45/312,568.27
  6. Step 6: Final answer
    x = 243,706.87

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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.