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Finding the Fourth Proportional to 287,894.90, 431,908.79 and 85,486.49

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Solution

The fourth proportional to 287,894.90, 431,908.79 and 85,486.49 is: 128,249.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,894.90 : 431,908.79 = 85,486.49 : x
  2. Step 2: Convert to fraction form
    287,894.90/431,908.79 = 85,486.49/x
  3. Step 3: Cross multiply
    287,894.90x = 431,908.79 × 85,486.49
  4. Step 4: Simplify right side
    287,894.90x = 36,922,363,870.27
  5. Step 5: Solve for x
    x = 36,922,363,870.27/287,894.90
  6. Step 6: Final answer
    x = 128,249.46

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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.