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Finding the Fourth Proportional to 342,601.29, 472,777.65 and 189,639.77

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Solution

The fourth proportional to 342,601.29, 472,777.65 and 189,639.77 is: 261,696.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,601.29 : 472,777.65 = 189,639.77 : x
  2. Step 2: Convert to fraction form
    342,601.29/472,777.65 = 189,639.77/x
  3. Step 3: Cross multiply
    342,601.29x = 472,777.65 × 189,639.77
  4. Step 4: Simplify right side
    342,601.29x = 89,657,442,443.25
  5. Step 5: Solve for x
    x = 89,657,442,443.25/342,601.29
  6. Step 6: Final answer
    x = 261,696.16

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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.