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Finding the Fourth Proportional to 271,767.76, 407,465.56 and 138,389.84

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Solution

The fourth proportional to 271,767.76, 407,465.56 and 138,389.84 is: 207,490.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,767.76 : 407,465.56 = 138,389.84 : x
  2. Step 2: Convert to fraction form
    271,767.76/407,465.56 = 138,389.84/x
  3. Step 3: Cross multiply
    271,767.76x = 407,465.56 × 138,389.84
  4. Step 4: Simplify right side
    271,767.76x = 56,389,093,653.91
  5. Step 5: Solve for x
    x = 56,389,093,653.91/271,767.76
  6. Step 6: Final answer
    x = 207,490.00

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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.