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Finding the Fourth Proportional to 257,076.72, 385,615.80 and 151,750.80

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Solution

The fourth proportional to 257,076.72, 385,615.80 and 151,750.80 is: 227,626.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,076.72 : 385,615.80 = 151,750.80 : x
  2. Step 2: Convert to fraction form
    257,076.72/385,615.80 = 151,750.80/x
  3. Step 3: Cross multiply
    257,076.72x = 385,615.80 × 151,750.80
  4. Step 4: Simplify right side
    257,076.72x = 58,517,506,142.64
  5. Step 5: Solve for x
    x = 58,517,506,142.64/257,076.72
  6. Step 6: Final answer
    x = 227,626.63

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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.