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Finding the Fourth Proportional to 312,442.83, 431,175.29 and 174,615.71

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Solution

The fourth proportional to 312,442.83, 431,175.29 and 174,615.71 is: 240,972.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,442.83 : 431,175.29 = 174,615.71 : x
  2. Step 2: Convert to fraction form
    312,442.83/431,175.29 = 174,615.71/x
  3. Step 3: Cross multiply
    312,442.83x = 431,175.29 × 174,615.71
  4. Step 4: Simplify right side
    312,442.83x = 75,289,976,368.85
  5. Step 5: Solve for x
    x = 75,289,976,368.85/312,442.83
  6. Step 6: Final answer
    x = 240,972.01

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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.