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Finding the Fourth Proportional to 272,339.80, 408,072.30 and 256,593.40

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Solution

The fourth proportional to 272,339.80, 408,072.30 and 256,593.40 is: 384,477.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,339.80 : 408,072.30 = 256,593.40 : x
  2. Step 2: Convert to fraction form
    272,339.80/408,072.30 = 256,593.40/x
  3. Step 3: Cross multiply
    272,339.80x = 408,072.30 × 256,593.40
  4. Step 4: Simplify right side
    272,339.80x = 104,708,658,902.82
  5. Step 5: Solve for x
    x = 104,708,658,902.82/272,339.80
  6. Step 6: Final answer
    x = 384,477.99

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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.