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Finding the Fourth Proportional to 277,384.68, 382,787.11 and 154,878.95

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Solution

The fourth proportional to 277,384.68, 382,787.11 and 154,878.95 is: 213,730.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,384.68 : 382,787.11 = 154,878.95 : x
  2. Step 2: Convert to fraction form
    277,384.68/382,787.11 = 154,878.95/x
  3. Step 3: Cross multiply
    277,384.68x = 382,787.11 × 154,878.95
  4. Step 4: Simplify right side
    277,384.68x = 59,285,666,820.90
  5. Step 5: Solve for x
    x = 59,285,666,820.90/277,384.68
  6. Step 6: Final answer
    x = 213,730.86

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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.