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Finding the Fourth Proportional to 537,577.56, 741,856.86 and 311,218.20

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Solution

The fourth proportional to 537,577.56, 741,856.86 and 311,218.20 is: 429,481.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,577.56 : 741,856.86 = 311,218.20 : x
  2. Step 2: Convert to fraction form
    537,577.56/741,856.86 = 311,218.20/x
  3. Step 3: Cross multiply
    537,577.56x = 741,856.86 × 311,218.20
  4. Step 4: Simplify right side
    537,577.56x = 230,879,356,626.85
  5. Step 5: Solve for x
    x = 230,879,356,626.85/537,577.56
  6. Step 6: Final answer
    x = 429,481.02

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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.