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Finding the Fourth Proportional to 287,636.58, 431,454.66 and 77,274.42

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Solution

The fourth proportional to 287,636.58, 431,454.66 and 77,274.42 is: 115,911.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,636.58 : 431,454.66 = 77,274.42 : x
  2. Step 2: Convert to fraction form
    287,636.58/431,454.66 = 77,274.42/x
  3. Step 3: Cross multiply
    287,636.58x = 431,454.66 × 77,274.42
  4. Step 4: Simplify right side
    287,636.58x = 33,340,408,607.80
  5. Step 5: Solve for x
    x = 33,340,408,607.80/287,636.58
  6. Step 6: Final answer
    x = 115,911.57

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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.