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Finding the Fourth Proportional to 285,322.44, 427,982.63 and 85,641.96

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Solution

The fourth proportional to 285,322.44, 427,982.63 and 85,641.96 is: 128,462.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,322.44 : 427,982.63 = 85,641.96 : x
  2. Step 2: Convert to fraction form
    285,322.44/427,982.63 = 85,641.96/x
  3. Step 3: Cross multiply
    285,322.44x = 427,982.63 × 85,641.96
  4. Step 4: Simplify right side
    285,322.44x = 36,653,271,279.15
  5. Step 5: Solve for x
    x = 36,653,271,279.15/285,322.44
  6. Step 6: Final answer
    x = 128,462.63

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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.