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Finding the Fourth Proportional to 285,683.90, 428,616.38 and 171,956.26

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Solution

The fourth proportional to 285,683.90, 428,616.38 and 171,956.26 is: 257,988.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,683.90 : 428,616.38 = 171,956.26 : x
  2. Step 2: Convert to fraction form
    285,683.90/428,616.38 = 171,956.26/x
  3. Step 3: Cross multiply
    285,683.90x = 428,616.38 × 171,956.26
  4. Step 4: Simplify right side
    285,683.90x = 73,703,267,748.22
  5. Step 5: Solve for x
    x = 73,703,267,748.22/285,683.90
  6. Step 6: Final answer
    x = 257,988.87

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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.