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Finding the Fourth Proportional to 277,756.76, 416,654.76 and 137,477.72

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Solution

The fourth proportional to 277,756.76, 416,654.76 and 137,477.72 is: 206,226.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,756.76 : 416,654.76 = 137,477.72 : x
  2. Step 2: Convert to fraction form
    277,756.76/416,654.76 = 137,477.72/x
  3. Step 3: Cross multiply
    277,756.76x = 416,654.76 × 137,477.72
  4. Step 4: Simplify right side
    277,756.76x = 57,280,746,431.95
  5. Step 5: Solve for x
    x = 57,280,746,431.95/277,756.76
  6. Step 6: Final answer
    x = 206,226.29

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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.