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Finding the Fourth Proportional to 342,721.02, 472,954.23 and 189,767.10

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Solution

The fourth proportional to 342,721.02, 472,954.23 and 189,767.10 is: 261,878.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,721.02 : 472,954.23 = 189,767.10 : x
  2. Step 2: Convert to fraction form
    342,721.02/472,954.23 = 189,767.10/x
  3. Step 3: Cross multiply
    342,721.02x = 472,954.23 × 189,767.10
  4. Step 4: Simplify right side
    342,721.02x = 89,751,152,659.83
  5. Step 5: Solve for x
    x = 89,751,152,659.83/342,721.02
  6. Step 6: Final answer
    x = 261,878.17

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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.