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Finding the Fourth Proportional to 287,780.76, 431,408.16 and 100,690.20

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Solution

The fourth proportional to 287,780.76, 431,408.16 and 100,690.20 is: 150,943.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,780.76 : 431,408.16 = 100,690.20 : x
  2. Step 2: Convert to fraction form
    287,780.76/431,408.16 = 100,690.20/x
  3. Step 3: Cross multiply
    287,780.76x = 431,408.16 × 100,690.20
  4. Step 4: Simplify right side
    287,780.76x = 43,438,573,912.03
  5. Step 5: Solve for x
    x = 43,438,573,912.03/287,780.76
  6. Step 6: Final answer
    x = 150,943.29

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1.5x scale

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.