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Finding the Fourth Proportional to 313,978.72, 469,938.48 and 171,605.92

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Solution

The fourth proportional to 313,978.72, 469,938.48 and 171,605.92 is: 256,846.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,978.72 : 469,938.48 = 171,605.92 : x
  2. Step 2: Convert to fraction form
    313,978.72/469,938.48 = 171,605.92/x
  3. Step 3: Cross multiply
    313,978.72x = 469,938.48 × 171,605.92
  4. Step 4: Simplify right side
    313,978.72x = 80,644,225,203.80
  5. Step 5: Solve for x
    x = 80,644,225,203.80/313,978.72
  6. Step 6: Final answer
    x = 256,846.15

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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.