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Finding the Fourth Proportional to 311,319.18, 466,979.10 and 86,680.08

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Solution

The fourth proportional to 311,319.18, 466,979.10 and 86,680.08 is: 130,020.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,319.18 : 466,979.10 = 86,680.08 : x
  2. Step 2: Convert to fraction form
    311,319.18/466,979.10 = 86,680.08/x
  3. Step 3: Cross multiply
    311,319.18x = 466,979.10 × 86,680.08
  4. Step 4: Simplify right side
    311,319.18x = 40,477,785,746.33
  5. Step 5: Solve for x
    x = 40,477,785,746.33/311,319.18
  6. Step 6: Final answer
    x = 130,020.21

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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.