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Finding the Fourth Proportional to 228,388.24, 342,974.40 and 140,159.80

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Solution

The fourth proportional to 228,388.24, 342,974.40 and 140,159.80 is: 210,480.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,388.24 : 342,974.40 = 140,159.80 : x
  2. Step 2: Convert to fraction form
    228,388.24/342,974.40 = 140,159.80/x
  3. Step 3: Cross multiply
    228,388.24x = 342,974.40 × 140,159.80
  4. Step 4: Simplify right side
    228,388.24x = 48,071,223,309.12
  5. Step 5: Solve for x
    x = 48,071,223,309.12/228,388.24
  6. Step 6: Final answer
    x = 210,480.29

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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.