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Finding the Fourth Proportional to 300,603.62, 450,954.61 and 142,778.77

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Solution

The fourth proportional to 300,603.62, 450,954.61 and 142,778.77 is: 214,191.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,603.62 : 450,954.61 = 142,778.77 : x
  2. Step 2: Convert to fraction form
    300,603.62/450,954.61 = 142,778.77/x
  3. Step 3: Cross multiply
    300,603.62x = 450,954.61 × 142,778.77
  4. Step 4: Simplify right side
    300,603.62x = 64,386,743,057.30
  5. Step 5: Solve for x
    x = 64,386,743,057.30/300,603.62
  6. Step 6: Final answer
    x = 214,191.51

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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.