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Finding the Fourth Proportional to 390,067.30, 584,116.80 and 311,335.30

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Solution

The fourth proportional to 390,067.30, 584,116.80 and 311,335.30 is: 466,217.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,067.30 : 584,116.80 = 311,335.30 : x
  2. Step 2: Convert to fraction form
    390,067.30/584,116.80 = 311,335.30/x
  3. Step 3: Cross multiply
    390,067.30x = 584,116.80 × 311,335.30
  4. Step 4: Simplify right side
    390,067.30x = 181,856,179,163.04
  5. Step 5: Solve for x
    x = 181,856,179,163.04/390,067.30
  6. Step 6: Final answer
    x = 466,217.44

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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.