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Finding the Fourth Proportional to 271,247.80, 406,871.70 and 256,041.40

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Solution

The fourth proportional to 271,247.80, 406,871.70 and 256,041.40 is: 384,062.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,247.80 : 406,871.70 = 256,041.40 : x
  2. Step 2: Convert to fraction form
    271,247.80/406,871.70 = 256,041.40/x
  3. Step 3: Cross multiply
    271,247.80x = 406,871.70 × 256,041.40
  4. Step 4: Simplify right side
    271,247.80x = 104,175,999,688.38
  5. Step 5: Solve for x
    x = 104,175,999,688.38/271,247.80
  6. Step 6: Final answer
    x = 384,062.10

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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.