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Finding the Fourth Proportional to 287,584.70, 431,377.05 and 130,120.70

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Solution

The fourth proportional to 287,584.70, 431,377.05 and 130,120.70 is: 195,181.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,584.70 : 431,377.05 = 130,120.70 : x
  2. Step 2: Convert to fraction form
    287,584.70/431,377.05 = 130,120.70/x
  3. Step 3: Cross multiply
    287,584.70x = 431,377.05 × 130,120.70
  4. Step 4: Simplify right side
    287,584.70x = 56,131,083,709.94
  5. Step 5: Solve for x
    x = 56,131,083,709.94/287,584.70
  6. Step 6: Final answer
    x = 195,181.05

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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.