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Finding the Fourth Proportional to 578,112.60, 866,067.30 and 311,784.60

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Solution

The fourth proportional to 578,112.60, 866,067.30 and 311,784.60 is: 467,082.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,112.60 : 866,067.30 = 311,784.60 : x
  2. Step 2: Convert to fraction form
    578,112.60/866,067.30 = 311,784.60/x
  3. Step 3: Cross multiply
    578,112.60x = 866,067.30 × 311,784.60
  4. Step 4: Simplify right side
    578,112.60x = 270,026,446,703.58
  5. Step 5: Solve for x
    x = 270,026,446,703.58/578,112.60
  6. Step 6: Final answer
    x = 467,082.79

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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.