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Finding the Fourth Proportional to 285,862.13, 428,221.43 and 171,947.03

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Solution

The fourth proportional to 285,862.13, 428,221.43 and 171,947.03 is: 257,576.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,862.13 : 428,221.43 = 171,947.03 : x
  2. Step 2: Convert to fraction form
    285,862.13/428,221.43 = 171,947.03/x
  3. Step 3: Cross multiply
    285,862.13x = 428,221.43 × 171,947.03
  4. Step 4: Simplify right side
    285,862.13x = 73,631,402,211.12
  5. Step 5: Solve for x
    x = 73,631,402,211.12/285,862.13
  6. Step 6: Final answer
    x = 257,576.63

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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.