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Finding the Fourth Proportional to 372,214.70, 513,652.44 and 202,448.78

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Solution

The fourth proportional to 372,214.70, 513,652.44 and 202,448.78 is: 279,377.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,214.70 : 513,652.44 = 202,448.78 : x
  2. Step 2: Convert to fraction form
    372,214.70/513,652.44 = 202,448.78/x
  3. Step 3: Cross multiply
    372,214.70x = 513,652.44 × 202,448.78
  4. Step 4: Simplify right side
    372,214.70x = 103,988,309,822.02
  5. Step 5: Solve for x
    x = 103,988,309,822.02/372,214.70
  6. Step 6: Final answer
    x = 279,377.22

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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.