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Finding the Fourth Proportional to 290,095.31, 435,044.40 and 100,511.42

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Solution

The fourth proportional to 290,095.31, 435,044.40 and 100,511.42 is: 150,732.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,095.31 : 435,044.40 = 100,511.42 : x
  2. Step 2: Convert to fraction form
    290,095.31/435,044.40 = 100,511.42/x
  3. Step 3: Cross multiply
    290,095.31x = 435,044.40 × 100,511.42
  4. Step 4: Simplify right side
    290,095.31x = 43,726,928,231.83
  5. Step 5: Solve for x
    x = 43,726,928,231.83/290,095.31
  6. Step 6: Final answer
    x = 150,732.97

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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.