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Finding the Fourth Proportional to 287,755.48, 431,717.46 and 147,611.80

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Solution

The fourth proportional to 287,755.48, 431,717.46 and 147,611.80 is: 221,460.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,755.48 : 431,717.46 = 147,611.80 : x
  2. Step 2: Convert to fraction form
    287,755.48/431,717.46 = 147,611.80/x
  3. Step 3: Cross multiply
    287,755.48x = 431,717.46 × 147,611.80
  4. Step 4: Simplify right side
    287,755.48x = 63,726,591,362.03
  5. Step 5: Solve for x
    x = 63,726,591,362.03/287,755.48
  6. Step 6: Final answer
    x = 221,460.91

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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.