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Finding the Fourth Proportional to 379,679.74, 523,807.34 and 218,448.02

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Solution

The fourth proportional to 379,679.74, 523,807.34 and 218,448.02 is: 301,371.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,679.74 : 523,807.34 = 218,448.02 : x
  2. Step 2: Convert to fraction form
    379,679.74/523,807.34 = 218,448.02/x
  3. Step 3: Cross multiply
    379,679.74x = 523,807.34 × 218,448.02
  4. Step 4: Simplify right side
    379,679.74x = 114,424,676,284.47
  5. Step 5: Solve for x
    x = 114,424,676,284.47/379,679.74
  6. Step 6: Final answer
    x = 301,371.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.