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Finding the Fourth Proportional to 392,220.48, 588,328.08 and 259,693.81

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Solution

The fourth proportional to 392,220.48, 588,328.08 and 259,693.81 is: 389,538.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,220.48 : 588,328.08 = 259,693.81 : x
  2. Step 2: Convert to fraction form
    392,220.48/588,328.08 = 259,693.81/x
  3. Step 3: Cross multiply
    392,220.48x = 588,328.08 × 259,693.81
  4. Step 4: Simplify right side
    392,220.48x = 152,785,160,625.19
  5. Step 5: Solve for x
    x = 152,785,160,625.19/392,220.48
  6. Step 6: Final answer
    x = 389,538.97

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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.