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Finding the Fourth Proportional to 253,640.40, 380,201.40 and 148,405.20

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Solution

The fourth proportional to 253,640.40, 380,201.40 and 148,405.20 is: 222,456.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,640.40 : 380,201.40 = 148,405.20 : x
  2. Step 2: Convert to fraction form
    253,640.40/380,201.40 = 148,405.20/x
  3. Step 3: Cross multiply
    253,640.40x = 380,201.40 × 148,405.20
  4. Step 4: Simplify right side
    253,640.40x = 56,423,864,807.28
  5. Step 5: Solve for x
    x = 56,423,864,807.28/253,640.40
  6. Step 6: Final answer
    x = 222,456.14

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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.