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Finding the Fourth Proportional to 309,370.52, 464,142.90 and 119,888.12

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Solution

The fourth proportional to 309,370.52, 464,142.90 and 119,888.12 is: 179,865.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,370.52 : 464,142.90 = 119,888.12 : x
  2. Step 2: Convert to fraction form
    309,370.52/464,142.90 = 119,888.12/x
  3. Step 3: Cross multiply
    309,370.52x = 464,142.90 × 119,888.12
  4. Step 4: Simplify right side
    309,370.52x = 55,645,219,692.35
  5. Step 5: Solve for x
    x = 55,645,219,692.35/309,370.52
  6. Step 6: Final answer
    x = 179,865.94

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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.