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Finding the Fourth Proportional to 385,299.44, 578,177.48 and 214,663.97

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Solution

The fourth proportional to 385,299.44, 578,177.48 and 214,663.97 is: 322,123.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,299.44 : 578,177.48 = 214,663.97 : x
  2. Step 2: Convert to fraction form
    385,299.44/578,177.48 = 214,663.97/x
  3. Step 3: Cross multiply
    385,299.44x = 578,177.48 × 214,663.97
  4. Step 4: Simplify right side
    385,299.44x = 124,113,873,593.52
  5. Step 5: Solve for x
    x = 124,113,873,593.52/385,299.44
  6. Step 6: Final answer
    x = 322,123.17

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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.