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Finding the Fourth Proportional to 208,311.44, 287,469.96 and 112,818.32

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Solution

The fourth proportional to 208,311.44, 287,469.96 and 112,818.32 is: 155,689.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,311.44 : 287,469.96 = 112,818.32 : x
  2. Step 2: Convert to fraction form
    208,311.44/287,469.96 = 112,818.32/x
  3. Step 3: Cross multiply
    208,311.44x = 287,469.96 × 112,818.32
  4. Step 4: Simplify right side
    208,311.44x = 32,431,877,937.67
  5. Step 5: Solve for x
    x = 32,431,877,937.67/208,311.44
  6. Step 6: Final answer
    x = 155,689.38

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1.5x scale

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.