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Finding the Fourth Proportional to 291,718.32, 436,993.80 and 231,847.84

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Solution

The fourth proportional to 291,718.32, 436,993.80 and 231,847.84 is: 347,307.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,718.32 : 436,993.80 = 231,847.84 : x
  2. Step 2: Convert to fraction form
    291,718.32/436,993.80 = 231,847.84/x
  3. Step 3: Cross multiply
    291,718.32x = 436,993.80 × 231,847.84
  4. Step 4: Simplify right side
    291,718.32x = 101,316,068,623.39
  5. Step 5: Solve for x
    x = 101,316,068,623.39/291,718.32
  6. Step 6: Final answer
    x = 347,307.87

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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.