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Finding the Fourth Proportional to 312,807.56, 469,112.25 and 113,101.52

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Solution

The fourth proportional to 312,807.56, 469,112.25 and 113,101.52 is: 169,616.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,807.56 : 469,112.25 = 113,101.52 : x
  2. Step 2: Convert to fraction form
    312,807.56/469,112.25 = 113,101.52/x
  3. Step 3: Cross multiply
    312,807.56x = 469,112.25 × 113,101.52
  4. Step 4: Simplify right side
    312,807.56x = 53,057,308,525.62
  5. Step 5: Solve for x
    x = 53,057,308,525.62/312,807.56
  6. Step 6: Final answer
    x = 169,616.45

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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.