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Finding the Fourth Proportional to 312,771.18, 431,281.89 and 232,347.90

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Solution

The fourth proportional to 312,771.18, 431,281.89 and 232,347.90 is: 320,385.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,771.18 : 431,281.89 = 232,347.90 : x
  2. Step 2: Convert to fraction form
    312,771.18/431,281.89 = 232,347.90/x
  3. Step 3: Cross multiply
    312,771.18x = 431,281.89 × 232,347.90
  4. Step 4: Simplify right side
    312,771.18x = 100,207,441,449.53
  5. Step 5: Solve for x
    x = 100,207,441,449.53/312,771.18
  6. Step 6: Final answer
    x = 320,385.79

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1.5x scale

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.