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Finding the Fourth Proportional to 285,676.14, 428,452.70 and 117,031.10

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Solution

The fourth proportional to 285,676.14, 428,452.70 and 117,031.10 is: 175,521.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,676.14 : 428,452.70 = 117,031.10 : x
  2. Step 2: Convert to fraction form
    285,676.14/428,452.70 = 117,031.10/x
  3. Step 3: Cross multiply
    285,676.14x = 428,452.70 × 117,031.10
  4. Step 4: Simplify right side
    285,676.14x = 50,142,290,778.97
  5. Step 5: Solve for x
    x = 50,142,290,778.97/285,676.14
  6. Step 6: Final answer
    x = 175,521.45

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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.