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Finding the Fourth Proportional to 312,301.05, 468,762.62 and 172,125.69

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Solution

The fourth proportional to 312,301.05, 468,762.62 and 172,125.69 is: 258,359.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,301.05 : 468,762.62 = 172,125.69 : x
  2. Step 2: Convert to fraction form
    312,301.05/468,762.62 = 172,125.69/x
  3. Step 3: Cross multiply
    312,301.05x = 468,762.62 × 172,125.69
  4. Step 4: Simplify right side
    312,301.05x = 80,686,088,553.08
  5. Step 5: Solve for x
    x = 80,686,088,553.08/312,301.05
  6. Step 6: Final answer
    x = 258,359.97

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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.