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Finding the Fourth Proportional to 342,078.50, 472,082.92 and 191,175.50

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Solution

The fourth proportional to 342,078.50, 472,082.92 and 191,175.50 is: 263,830.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,078.50 : 472,082.92 = 191,175.50 : x
  2. Step 2: Convert to fraction form
    342,078.50/472,082.92 = 191,175.50/x
  3. Step 3: Cross multiply
    342,078.50x = 472,082.92 × 191,175.50
  4. Step 4: Simplify right side
    342,078.50x = 90,250,688,272.46
  5. Step 5: Solve for x
    x = 90,250,688,272.46/342,078.50
  6. Step 6: Final answer
    x = 263,830.34

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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.