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Finding the Fourth Proportional to 312,346.35, 431,764.34 and 278,688.42

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Solution

The fourth proportional to 312,346.35, 431,764.34 and 278,688.42 is: 385,238.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,346.35 : 431,764.34 = 278,688.42 : x
  2. Step 2: Convert to fraction form
    312,346.35/431,764.34 = 278,688.42/x
  3. Step 3: Cross multiply
    312,346.35x = 431,764.34 × 278,688.42
  4. Step 4: Simplify right side
    312,346.35x = 120,327,720,333.50
  5. Step 5: Solve for x
    x = 120,327,720,333.50/312,346.35
  6. Step 6: Final answer
    x = 385,238.12

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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.