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Finding the Fourth Proportional to 320,278.87, 480,438.12 and 107,065.97

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Solution

The fourth proportional to 320,278.87, 480,438.12 and 107,065.97 is: 160,605.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,278.87 : 480,438.12 = 107,065.97 : x
  2. Step 2: Convert to fraction form
    320,278.87/480,438.12 = 107,065.97/x
  3. Step 3: Cross multiply
    320,278.87x = 480,438.12 × 107,065.97
  4. Step 4: Simplify right side
    320,278.87x = 51,438,573,342.78
  5. Step 5: Solve for x
    x = 51,438,573,342.78/320,278.87
  6. Step 6: Final answer
    x = 160,605.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.