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Finding the Fourth Proportional to 287,563.68, 431,537.49 and 100,575.18

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Solution

The fourth proportional to 287,563.68, 431,537.49 and 100,575.18 is: 150,929.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,563.68 : 431,537.49 = 100,575.18 : x
  2. Step 2: Convert to fraction form
    287,563.68/431,537.49 = 100,575.18/x
  3. Step 3: Cross multiply
    287,563.68x = 431,537.49 × 100,575.18
  4. Step 4: Simplify right side
    287,563.68x = 43,401,960,733.50
  5. Step 5: Solve for x
    x = 43,401,960,733.50/287,563.68
  6. Step 6: Final answer
    x = 150,929.91

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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.