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Finding the Fourth Proportional to 313,978.42, 433,326.78 and 176,195.29

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Solution

The fourth proportional to 313,978.42, 433,326.78 and 176,195.29 is: 243,170.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,978.42 : 433,326.78 = 176,195.29 : x
  2. Step 2: Convert to fraction form
    313,978.42/433,326.78 = 176,195.29/x
  3. Step 3: Cross multiply
    313,978.42x = 433,326.78 × 176,195.29
  4. Step 4: Simplify right side
    313,978.42x = 76,350,137,666.87
  5. Step 5: Solve for x
    x = 76,350,137,666.87/313,978.42
  6. Step 6: Final answer
    x = 243,170.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.