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Finding the Fourth Proportional to 310,324.60, 465,717.30 and 123,470.20

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Solution

The fourth proportional to 310,324.60, 465,717.30 and 123,470.20 is: 185,296.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,324.60 : 465,717.30 = 123,470.20 : x
  2. Step 2: Convert to fraction form
    310,324.60/465,717.30 = 123,470.20/x
  3. Step 3: Cross multiply
    310,324.60x = 465,717.30 × 123,470.20
  4. Step 4: Simplify right side
    310,324.60x = 57,502,208,174.46
  5. Step 5: Solve for x
    x = 57,502,208,174.46/310,324.60
  6. Step 6: Final answer
    x = 185,296.97

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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.