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Finding the Fourth Proportional to 309,371.02, 464,143.65 and 119,888.62

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Solution

The fourth proportional to 309,371.02, 464,143.65 and 119,888.62 is: 179,866.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,371.02 : 464,143.65 = 119,888.62 : x
  2. Step 2: Convert to fraction form
    309,371.02/464,143.65 = 119,888.62/x
  3. Step 3: Cross multiply
    309,371.02x = 464,143.65 × 119,888.62
  4. Step 4: Simplify right side
    309,371.02x = 55,645,541,680.26
  5. Step 5: Solve for x
    x = 55,645,541,680.26/309,371.02
  6. Step 6: Final answer
    x = 179,866.69

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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.