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Finding the Fourth Proportional to 285,748.48, 428,694 and 201,672.88

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Solution

The fourth proportional to 285,748.48, 428,694 and 201,672.88 is: 302,559.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,748.48 : 428,694 = 201,672.88 : x
  2. Step 2: Convert to fraction form
    285,748.48/428,694 = 201,672.88/x
  3. Step 3: Cross multiply
    285,748.48x = 428,694 × 201,672.88
  4. Step 4: Simplify right side
    285,748.48x = 86,455,953,618.72
  5. Step 5: Solve for x
    x = 86,455,953,618.72/285,748.48
  6. Step 6: Final answer
    x = 302,559.63

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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.