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Finding the Fourth Proportional to 271,341.80, 407,012.70 and 138,631.40

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Solution

The fourth proportional to 271,341.80, 407,012.70 and 138,631.40 is: 207,947.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,341.80 : 407,012.70 = 138,631.40 : x
  2. Step 2: Convert to fraction form
    271,341.80/407,012.70 = 138,631.40/x
  3. Step 3: Cross multiply
    271,341.80x = 407,012.70 × 138,631.40
  4. Step 4: Simplify right side
    271,341.80x = 56,424,740,418.78
  5. Step 5: Solve for x
    x = 56,424,740,418.78/271,341.80
  6. Step 6: Final answer
    x = 207,947.10

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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.