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Finding the Fourth Proportional to 312,770.68, 431,281.20 and 232,347.40

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Solution

The fourth proportional to 312,770.68, 431,281.20 and 232,347.40 is: 320,385.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,770.68 : 431,281.20 = 232,347.40 : x
  2. Step 2: Convert to fraction form
    312,770.68/431,281.20 = 232,347.40/x
  3. Step 3: Cross multiply
    312,770.68x = 431,281.20 × 232,347.40
  4. Step 4: Simplify right side
    312,770.68x = 100,207,065,488.88
  5. Step 5: Solve for x
    x = 100,207,065,488.88/312,770.68
  6. Step 6: Final answer
    x = 320,385.10

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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.