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Finding the Fourth Proportional to 342,252.74, 472,266.86 and 189,270.27

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Solution

The fourth proportional to 342,252.74, 472,266.86 and 189,270.27 is: 261,169.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,252.74 : 472,266.86 = 189,270.27 : x
  2. Step 2: Convert to fraction form
    342,252.74/472,266.86 = 189,270.27/x
  3. Step 3: Cross multiply
    342,252.74x = 472,266.86 × 189,270.27
  4. Step 4: Simplify right side
    342,252.74x = 89,386,075,157.90
  5. Step 5: Solve for x
    x = 89,386,075,157.90/342,252.74
  6. Step 6: Final answer
    x = 261,169.78

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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.