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Finding the Fourth Proportional to 287,894.25, 431,842.59 and 88,199.28

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Solution

The fourth proportional to 287,894.25, 431,842.59 and 88,199.28 is: 132,299.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,894.25 : 431,842.59 = 88,199.28 : x
  2. Step 2: Convert to fraction form
    287,894.25/431,842.59 = 88,199.28/x
  3. Step 3: Cross multiply
    287,894.25x = 431,842.59 × 88,199.28
  4. Step 4: Simplify right side
    287,894.25x = 38,088,205,511.34
  5. Step 5: Solve for x
    x = 38,088,205,511.34/287,894.25
  6. Step 6: Final answer
    x = 132,299.29

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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.