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Finding the Fourth Proportional to 287,355.87, 431,053.25 and 109,881.63

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Solution

The fourth proportional to 287,355.87, 431,053.25 and 109,881.63 is: 164,829.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,355.87 : 431,053.25 = 109,881.63 : x
  2. Step 2: Convert to fraction form
    287,355.87/431,053.25 = 109,881.63/x
  3. Step 3: Cross multiply
    287,355.87x = 431,053.25 × 109,881.63
  4. Step 4: Simplify right side
    287,355.87x = 47,364,833,177.39
  5. Step 5: Solve for x
    x = 47,364,833,177.39/287,355.87
  6. Step 6: Final answer
    x = 164,829.88

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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.