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Finding the Fourth Proportional to 285,330.54, 427,805.87 and 171,221.42

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Solution

The fourth proportional to 285,330.54, 427,805.87 and 171,221.42 is: 256,718.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,330.54 : 427,805.87 = 171,221.42 : x
  2. Step 2: Convert to fraction form
    285,330.54/427,805.87 = 171,221.42/x
  3. Step 3: Cross multiply
    285,330.54x = 427,805.87 × 171,221.42
  4. Step 4: Simplify right side
    285,330.54x = 73,249,528,759.14
  5. Step 5: Solve for x
    x = 73,249,528,759.14/285,330.54
  6. Step 6: Final answer
    x = 256,718.15

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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.