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Finding the Fourth Proportional to 287,520.49, 396,845.88 and 178,707

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Solution

The fourth proportional to 287,520.49, 396,845.88 and 178,707 is: 246,657.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,520.49 : 396,845.88 = 178,707 : x
  2. Step 2: Convert to fraction form
    287,520.49/396,845.88 = 178,707/x
  3. Step 3: Cross multiply
    287,520.49x = 396,845.88 × 178,707
  4. Step 4: Simplify right side
    287,520.49x = 70,919,136,677.16
  5. Step 5: Solve for x
    x = 70,919,136,677.16/287,520.49
  6. Step 6: Final answer
    x = 246,657.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.