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Finding the Fourth Proportional to 277,411.92, 382,828.32 and 156,578.55

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Solution

The fourth proportional to 277,411.92, 382,828.32 and 156,578.55 is: 216,078.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,411.92 : 382,828.32 = 156,578.55 : x
  2. Step 2: Convert to fraction form
    277,411.92/382,828.32 = 156,578.55/x
  3. Step 3: Cross multiply
    277,411.92x = 382,828.32 × 156,578.55
  4. Step 4: Simplify right side
    277,411.92x = 59,942,703,244.54
  5. Step 5: Solve for x
    x = 59,942,703,244.54/277,411.92
  6. Step 6: Final answer
    x = 216,078.33

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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.