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Finding the Fourth Proportional to 312,195.46, 468,211.13 and 134,663

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Solution

The fourth proportional to 312,195.46, 468,211.13 and 134,663 is: 201,959.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,195.46 : 468,211.13 = 134,663 : x
  2. Step 2: Convert to fraction form
    312,195.46/468,211.13 = 134,663/x
  3. Step 3: Cross multiply
    312,195.46x = 468,211.13 × 134,663
  4. Step 4: Simplify right side
    312,195.46x = 63,050,715,399.19
  5. Step 5: Solve for x
    x = 63,050,715,399.19/312,195.46
  6. Step 6: Final answer
    x = 201,959.10

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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.