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Finding the Fourth Proportional to 271,934.60, 407,859.72 and 138,913.16

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Solution

The fourth proportional to 271,934.60, 407,859.72 and 138,913.16 is: 208,348.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,934.60 : 407,859.72 = 138,913.16 : x
  2. Step 2: Convert to fraction form
    271,934.60/407,859.72 = 138,913.16/x
  3. Step 3: Cross multiply
    271,934.60x = 407,859.72 × 138,913.16
  4. Step 4: Simplify right side
    271,934.60x = 56,657,082,541.92
  5. Step 5: Solve for x
    x = 56,657,082,541.92/271,934.60
  6. Step 6: Final answer
    x = 208,348.19

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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.