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Finding the Fourth Proportional to 257,079.20, 384,927.60 and 186,576.80

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Solution

The fourth proportional to 257,079.20, 384,927.60 and 186,576.80 is: 279,363.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,079.20 : 384,927.60 = 186,576.80 : x
  2. Step 2: Convert to fraction form
    257,079.20/384,927.60 = 186,576.80/x
  3. Step 3: Cross multiply
    257,079.20x = 384,927.60 × 186,576.80
  4. Step 4: Simplify right side
    257,079.20x = 71,818,559,839.68
  5. Step 5: Solve for x
    x = 71,818,559,839.68/257,079.20
  6. Step 6: Final answer
    x = 279,363.56

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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.