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Finding the Fourth Proportional to 342,569.54, 472,936.45 and 206,637.78

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Solution

The fourth proportional to 342,569.54, 472,936.45 and 206,637.78 is: 285,275.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,569.54 : 472,936.45 = 206,637.78 : x
  2. Step 2: Convert to fraction form
    342,569.54/472,936.45 = 206,637.78/x
  3. Step 3: Cross multiply
    342,569.54x = 472,936.45 × 206,637.78
  4. Step 4: Simplify right side
    342,569.54x = 97,726,538,109.08
  5. Step 5: Solve for x
    x = 97,726,538,109.08/342,569.54
  6. Step 6: Final answer
    x = 285,275.04

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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.