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Finding the Fourth Proportional to 312,238.53, 430,892.33 and 169,001.64

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Solution

The fourth proportional to 312,238.53, 430,892.33 and 169,001.64 is: 233,223.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,238.53 : 430,892.33 = 169,001.64 : x
  2. Step 2: Convert to fraction form
    312,238.53/430,892.33 = 169,001.64/x
  3. Step 3: Cross multiply
    312,238.53x = 430,892.33 × 169,001.64
  4. Step 4: Simplify right side
    312,238.53x = 72,821,509,588.41
  5. Step 5: Solve for x
    x = 72,821,509,588.41/312,238.53
  6. Step 6: Final answer
    x = 233,223.97

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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.