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Finding the Fourth Proportional to 311,565.50, 467,427.04 and 86,925.84

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Solution

The fourth proportional to 311,565.50, 467,427.04 and 86,925.84 is: 130,410.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,565.50 : 467,427.04 = 86,925.84 : x
  2. Step 2: Convert to fraction form
    311,565.50/467,427.04 = 86,925.84/x
  3. Step 3: Cross multiply
    311,565.50x = 467,427.04 × 86,925.84
  4. Step 4: Simplify right side
    311,565.50x = 40,631,486,120.55
  5. Step 5: Solve for x
    x = 40,631,486,120.55/311,565.50
  6. Step 6: Final answer
    x = 130,410.74

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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.