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Finding the Fourth Proportional to 540,805.56, 746,228.80 and 311,318.54

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Solution

The fourth proportional to 540,805.56, 746,228.80 and 311,318.54 is: 429,571.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,805.56 : 746,228.80 = 311,318.54 : x
  2. Step 2: Convert to fraction form
    540,805.56/746,228.80 = 311,318.54/x
  3. Step 3: Cross multiply
    540,805.56x = 746,228.80 × 311,318.54
  4. Step 4: Simplify right side
    540,805.56x = 232,314,859,978.31
  5. Step 5: Solve for x
    x = 232,314,859,978.31/540,805.56
  6. Step 6: Final answer
    x = 429,571.88

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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.