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Finding the Fourth Proportional to 291,222.98, 402,011.71 and 195,785.03

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Solution

The fourth proportional to 291,222.98, 402,011.71 and 195,785.03 is: 270,266.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,222.98 : 402,011.71 = 195,785.03 : x
  2. Step 2: Convert to fraction form
    291,222.98/402,011.71 = 195,785.03/x
  3. Step 3: Cross multiply
    291,222.98x = 402,011.71 × 195,785.03
  4. Step 4: Simplify right side
    291,222.98x = 78,707,875,218.27
  5. Step 5: Solve for x
    x = 78,707,875,218.27/291,222.98
  6. Step 6: Final answer
    x = 270,266.71

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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.