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Finding the Fourth Proportional to 291,222.92, 402,011.64 and 195,784.97

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Solution

The fourth proportional to 291,222.92, 402,011.64 and 195,784.97 is: 270,266.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,222.92 : 402,011.64 = 195,784.97 : x
  2. Step 2: Convert to fraction form
    291,222.92/402,011.64 = 195,784.97/x
  3. Step 3: Cross multiply
    291,222.92x = 402,011.64 × 195,784.97
  4. Step 4: Simplify right side
    291,222.92x = 78,707,836,877.05
  5. Step 5: Solve for x
    x = 78,707,836,877.05/291,222.92
  6. Step 6: Final answer
    x = 270,266.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.