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Finding the Fourth Proportional to 305,338.20, 458,007.30 and 260,067.30

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Solution

The fourth proportional to 305,338.20, 458,007.30 and 260,067.30 is: 390,100.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,338.20 : 458,007.30 = 260,067.30 : x
  2. Step 2: Convert to fraction form
    305,338.20/458,007.30 = 260,067.30/x
  3. Step 3: Cross multiply
    305,338.20x = 458,007.30 × 260,067.30
  4. Step 4: Simplify right side
    305,338.20x = 119,112,721,891.29
  5. Step 5: Solve for x
    x = 119,112,721,891.29/305,338.20
  6. Step 6: Final answer
    x = 390,100.95

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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.