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Finding the Fourth Proportional to 240,891.78, 360,943.47 and 145,833.84

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Solution

The fourth proportional to 240,891.78, 360,943.47 and 145,833.84 is: 218,512.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,891.78 : 360,943.47 = 145,833.84 : x
  2. Step 2: Convert to fraction form
    240,891.78/360,943.47 = 145,833.84/x
  3. Step 3: Cross multiply
    240,891.78x = 360,943.47 × 145,833.84
  4. Step 4: Simplify right side
    240,891.78x = 52,637,771,350.67
  5. Step 5: Solve for x
    x = 52,637,771,350.67/240,891.78
  6. Step 6: Final answer
    x = 218,512.11

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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.