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Finding the Fourth Proportional to 271,706.61, 408,224.13 and 256,600.11

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Solution

The fourth proportional to 271,706.61, 408,224.13 and 256,600.11 is: 385,527.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,706.61 : 408,224.13 = 256,600.11 : x
  2. Step 2: Convert to fraction form
    271,706.61/408,224.13 = 256,600.11/x
  3. Step 3: Cross multiply
    271,706.61x = 408,224.13 × 256,600.11
  4. Step 4: Simplify right side
    271,706.61x = 104,750,356,662.65
  5. Step 5: Solve for x
    x = 104,750,356,662.65/271,706.61
  6. Step 6: Final answer
    x = 385,527.45

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1.5x scale

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.