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Finding the Fourth Proportional to 272,493.94, 408,621.74 and 137,474.93

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Solution

The fourth proportional to 272,493.94, 408,621.74 and 137,474.93 is: 206,152.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,493.94 : 408,621.74 = 137,474.93 : x
  2. Step 2: Convert to fraction form
    272,493.94/408,621.74 = 137,474.93/x
  3. Step 3: Cross multiply
    272,493.94x = 408,621.74 × 137,474.93
  4. Step 4: Simplify right side
    272,493.94x = 56,175,246,468.22
  5. Step 5: Solve for x
    x = 56,175,246,468.22/272,493.94
  6. Step 6: Final answer
    x = 206,152.28

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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.