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Finding the Fourth Proportional to 257,339.44, 385,996.80 and 70,351.36

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Solution

The fourth proportional to 257,339.44, 385,996.80 and 70,351.36 is: 105,523.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,339.44 : 385,996.80 = 70,351.36 : x
  2. Step 2: Convert to fraction form
    257,339.44/385,996.80 = 70,351.36/x
  3. Step 3: Cross multiply
    257,339.44x = 385,996.80 × 70,351.36
  4. Step 4: Simplify right side
    257,339.44x = 27,155,399,835.65
  5. Step 5: Solve for x
    x = 27,155,399,835.65/257,339.44
  6. Step 6: Final answer
    x = 105,523.66

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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.