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Finding the Fourth Proportional to 272,838.30, 409,257.45 and 262,340.70

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Solution

The fourth proportional to 272,838.30, 409,257.45 and 262,340.70 is: 393,511.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,838.30 : 409,257.45 = 262,340.70 : x
  2. Step 2: Convert to fraction form
    272,838.30/409,257.45 = 262,340.70/x
  3. Step 3: Cross multiply
    272,838.30x = 409,257.45 × 262,340.70
  4. Step 4: Simplify right side
    272,838.30x = 107,364,885,913.22
  5. Step 5: Solve for x
    x = 107,364,885,913.22/272,838.30
  6. Step 6: Final answer
    x = 393,511.05

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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.