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Finding the Fourth Proportional to 271,312.20, 406,871.10 and 138,148.20

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Solution

The fourth proportional to 271,312.20, 406,871.10 and 138,148.20 is: 207,172.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,312.20 : 406,871.10 = 138,148.20 : x
  2. Step 2: Convert to fraction form
    271,312.20/406,871.10 = 138,148.20/x
  3. Step 3: Cross multiply
    271,312.20x = 406,871.10 × 138,148.20
  4. Step 4: Simplify right side
    271,312.20x = 56,208,510,097.02
  5. Step 5: Solve for x
    x = 56,208,510,097.02/271,312.20
  6. Step 6: Final answer
    x = 207,172.81

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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.