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Finding the Fourth Proportional to 291,419.94, 436,870.58 and 113,886.57

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Solution

The fourth proportional to 291,419.94, 436,870.58 and 113,886.57 is: 170,728.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,419.94 : 436,870.58 = 113,886.57 : x
  2. Step 2: Convert to fraction form
    291,419.94/436,870.58 = 113,886.57/x
  3. Step 3: Cross multiply
    291,419.94x = 436,870.58 × 113,886.57
  4. Step 4: Simplify right side
    291,419.94x = 49,753,691,320.68
  5. Step 5: Solve for x
    x = 49,753,691,320.68/291,419.94
  6. Step 6: Final answer
    x = 170,728.51

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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.