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Finding the Fourth Proportional to 251,862.80, 378,085.80 and 152,135.60

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Solution

The fourth proportional to 251,862.80, 378,085.80 and 152,135.60 is: 228,379.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,862.80 : 378,085.80 = 152,135.60 : x
  2. Step 2: Convert to fraction form
    251,862.80/378,085.80 = 152,135.60/x
  3. Step 3: Cross multiply
    251,862.80x = 378,085.80 × 152,135.60
  4. Step 4: Simplify right side
    251,862.80x = 57,520,310,034.48
  5. Step 5: Solve for x
    x = 57,520,310,034.48/251,862.80
  6. Step 6: Final answer
    x = 228,379.54

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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.