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Finding the Fourth Proportional to 397,102, 595,726.80 and 130,881.22

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Solution

The fourth proportional to 397,102, 595,726.80 and 130,881.22 is: 196,346.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,102 : 595,726.80 = 130,881.22 : x
  2. Step 2: Convert to fraction form
    397,102/595,726.80 = 130,881.22/x
  3. Step 3: Cross multiply
    397,102x = 595,726.80 × 130,881.22
  4. Step 4: Simplify right side
    397,102x = 77,969,450,370.70
  5. Step 5: Solve for x
    x = 77,969,450,370.70/397,102
  6. Step 6: Final answer
    x = 196,346.15

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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.