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Finding the Fourth Proportional to 520,810.64, 718,724.40 and 305,959.76

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Solution

The fourth proportional to 520,810.64, 718,724.40 and 305,959.76 is: 422,227.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,810.64 : 718,724.40 = 305,959.76 : x
  2. Step 2: Convert to fraction form
    520,810.64/718,724.40 = 305,959.76/x
  3. Step 3: Cross multiply
    520,810.64x = 718,724.40 × 305,959.76
  4. Step 4: Simplify right side
    520,810.64x = 219,900,744,930.14
  5. Step 5: Solve for x
    x = 219,900,744,930.14/520,810.64
  6. Step 6: Final answer
    x = 422,227.83

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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.