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Finding the Fourth Proportional to 257,086.40, 385,629.60 and 151,851.20

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Solution

The fourth proportional to 257,086.40, 385,629.60 and 151,851.20 is: 227,776.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,086.40 : 385,629.60 = 151,851.20 : x
  2. Step 2: Convert to fraction form
    257,086.40/385,629.60 = 151,851.20/x
  3. Step 3: Cross multiply
    257,086.40x = 385,629.60 × 151,851.20
  4. Step 4: Simplify right side
    257,086.40x = 58,558,317,515.52
  5. Step 5: Solve for x
    x = 58,558,317,515.52/257,086.40
  6. Step 6: Final answer
    x = 227,776.80

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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.