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Finding the Fourth Proportional to 291,078, 436,380.48 and 131,036.40

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Solution

The fourth proportional to 291,078, 436,380.48 and 131,036.40 is: 196,448.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,078 : 436,380.48 = 131,036.40 : x
  2. Step 2: Convert to fraction form
    291,078/436,380.48 = 131,036.40/x
  3. Step 3: Cross multiply
    291,078x = 436,380.48 × 131,036.40
  4. Step 4: Simplify right side
    291,078x = 57,181,727,129.47
  5. Step 5: Solve for x
    x = 57,181,727,129.47/291,078
  6. Step 6: Final answer
    x = 196,448.12

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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.