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Finding the Fourth Proportional to 309,365.52, 464,135.40 and 119,883.12

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Solution

The fourth proportional to 309,365.52, 464,135.40 and 119,883.12 is: 179,858.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,365.52 : 464,135.40 = 119,883.12 : x
  2. Step 2: Convert to fraction form
    309,365.52/464,135.40 = 119,883.12/x
  3. Step 3: Cross multiply
    309,365.52x = 464,135.40 × 119,883.12
  4. Step 4: Simplify right side
    309,365.52x = 55,641,999,854.45
  5. Step 5: Solve for x
    x = 55,641,999,854.45/309,365.52
  6. Step 6: Final answer
    x = 179,858.44

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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.