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Finding the Fourth Proportional to 313,165.72, 469,984.73 and 229,142.65

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Solution

The fourth proportional to 313,165.72, 469,984.73 and 229,142.65 is: 343,886.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,165.72 : 469,984.73 = 229,142.65 : x
  2. Step 2: Convert to fraction form
    313,165.72/469,984.73 = 229,142.65/x
  3. Step 3: Cross multiply
    313,165.72x = 469,984.73 × 229,142.65
  4. Step 4: Simplify right side
    313,165.72x = 107,693,545,019.38
  5. Step 5: Solve for x
    x = 107,693,545,019.38/313,165.72
  6. Step 6: Final answer
    x = 343,886.76

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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.