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Finding the Fourth Proportional to 251,894.40, 378,133.20 and 145,363.20

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Solution

The fourth proportional to 251,894.40, 378,133.20 and 145,363.20 is: 218,213.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,894.40 : 378,133.20 = 145,363.20 : x
  2. Step 2: Convert to fraction form
    251,894.40/378,133.20 = 145,363.20/x
  3. Step 3: Cross multiply
    251,894.40x = 378,133.20 × 145,363.20
  4. Step 4: Simplify right side
    251,894.40x = 54,966,651,978.24
  5. Step 5: Solve for x
    x = 54,966,651,978.24/251,894.40
  6. Step 6: Final answer
    x = 218,213.08

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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.