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Finding the Fourth Proportional to 325,689.78, 488,765.52 and 148,219.59

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Solution

The fourth proportional to 325,689.78, 488,765.52 and 148,219.59 is: 222,434.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,689.78 : 488,765.52 = 148,219.59 : x
  2. Step 2: Convert to fraction form
    325,689.78/488,765.52 = 148,219.59/x
  3. Step 3: Cross multiply
    325,689.78x = 488,765.52 × 148,219.59
  4. Step 4: Simplify right side
    325,689.78x = 72,444,624,980.54
  5. Step 5: Solve for x
    x = 72,444,624,980.54/325,689.78
  6. Step 6: Final answer
    x = 222,434.44

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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.