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Finding the Fourth Proportional to 342,253.74, 472,268.23 and 189,271.27

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Solution

The fourth proportional to 342,253.74, 472,268.23 and 189,271.27 is: 261,171.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,253.74 : 472,268.23 = 189,271.27 : x
  2. Step 2: Convert to fraction form
    342,253.74/472,268.23 = 189,271.27/x
  3. Step 3: Cross multiply
    342,253.74x = 472,268.23 × 189,271.27
  4. Step 4: Simplify right side
    342,253.74x = 89,386,807,672.75
  5. Step 5: Solve for x
    x = 89,386,807,672.75/342,253.74
  6. Step 6: Final answer
    x = 261,171.16

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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.