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Finding the Fourth Proportional to 311,895.93, 467,760.87 and 87,242.43

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Solution

The fourth proportional to 311,895.93, 467,760.87 and 87,242.43 is: 130,840.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,895.93 : 467,760.87 = 87,242.43 : x
  2. Step 2: Convert to fraction form
    311,895.93/467,760.87 = 87,242.43/x
  3. Step 3: Cross multiply
    311,895.93x = 467,760.87 × 87,242.43
  4. Step 4: Simplify right side
    311,895.93x = 40,808,594,957.71
  5. Step 5: Solve for x
    x = 40,808,594,957.71/311,895.93
  6. Step 6: Final answer
    x = 130,840.42

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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.