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Finding the Fourth Proportional to 287,410.56, 431,312.88 and 100,422

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Solution

The fourth proportional to 287,410.56, 431,312.88 and 100,422 is: 150,701.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,410.56 : 431,312.88 = 100,422 : x
  2. Step 2: Convert to fraction form
    287,410.56/431,312.88 = 100,422/x
  3. Step 3: Cross multiply
    287,410.56x = 431,312.88 × 100,422
  4. Step 4: Simplify right side
    287,410.56x = 43,313,302,035.36
  5. Step 5: Solve for x
    x = 43,313,302,035.36/287,410.56
  6. Step 6: Final answer
    x = 150,701.85

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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.