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Finding the Fourth Proportional to 315,624.66, 435,564.45 and 172,382.10

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Solution

The fourth proportional to 315,624.66, 435,564.45 and 172,382.10 is: 237,888.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,624.66 : 435,564.45 = 172,382.10 : x
  2. Step 2: Convert to fraction form
    315,624.66/435,564.45 = 172,382.10/x
  3. Step 3: Cross multiply
    315,624.66x = 435,564.45 × 172,382.10
  4. Step 4: Simplify right side
    315,624.66x = 75,083,514,576.35
  5. Step 5: Solve for x
    x = 75,083,514,576.35/315,624.66
  6. Step 6: Final answer
    x = 237,888.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.