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Finding the Fourth Proportional to 287,784.76, 431,414.16 and 100,694.20

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Solution

The fourth proportional to 287,784.76, 431,414.16 and 100,694.20 is: 150,949.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,784.76 : 431,414.16 = 100,694.20 : x
  2. Step 2: Convert to fraction form
    287,784.76/431,414.16 = 100,694.20/x
  3. Step 3: Cross multiply
    287,784.76x = 431,414.16 × 100,694.20
  4. Step 4: Simplify right side
    287,784.76x = 43,440,903,709.87
  5. Step 5: Solve for x
    x = 43,440,903,709.87/287,784.76
  6. Step 6: Final answer
    x = 150,949.28

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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.