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Finding the Fourth Proportional to 285,076.01, 428,167.60 and 209,899.24

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Solution

The fourth proportional to 285,076.01, 428,167.60 and 209,899.24 is: 315,256.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,076.01 : 428,167.60 = 209,899.24 : x
  2. Step 2: Convert to fraction form
    285,076.01/428,167.60 = 209,899.24/x
  3. Step 3: Cross multiply
    285,076.01x = 428,167.60 × 209,899.24
  4. Step 4: Simplify right side
    285,076.01x = 89,872,052,237.46
  5. Step 5: Solve for x
    x = 89,872,052,237.46/285,076.01
  6. Step 6: Final answer
    x = 315,256.45

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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.