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Finding the Fourth Proportional to 277,888.82, 417,391.20 and 165,787.74

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Solution

The fourth proportional to 277,888.82, 417,391.20 and 165,787.74 is: 249,014.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,888.82 : 417,391.20 = 165,787.74 : x
  2. Step 2: Convert to fraction form
    277,888.82/417,391.20 = 165,787.74/x
  3. Step 3: Cross multiply
    277,888.82x = 417,391.20 × 165,787.74
  4. Step 4: Simplify right side
    277,888.82x = 69,198,343,743.89
  5. Step 5: Solve for x
    x = 69,198,343,743.89/277,888.82
  6. Step 6: Final answer
    x = 249,014.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.