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Finding the Fourth Proportional to 358,905.20, 538,163.40 and 148,305.20

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Solution

The fourth proportional to 358,905.20, 538,163.40 and 148,305.20 is: 222,377.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,905.20 : 538,163.40 = 148,305.20 : x
  2. Step 2: Convert to fraction form
    358,905.20/538,163.40 = 148,305.20/x
  3. Step 3: Cross multiply
    358,905.20x = 538,163.40 × 148,305.20
  4. Step 4: Simplify right side
    358,905.20x = 79,812,430,669.68
  5. Step 5: Solve for x
    x = 79,812,430,669.68/358,905.20
  6. Step 6: Final answer
    x = 222,377.47

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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.