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Finding the Fourth Proportional to 271,795.64, 407,507.42 and 138,417.80

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Solution

The fourth proportional to 271,795.64, 407,507.42 and 138,417.80 is: 207,531.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,795.64 : 407,507.42 = 138,417.80 : x
  2. Step 2: Convert to fraction form
    271,795.64/407,507.42 = 138,417.80/x
  3. Step 3: Cross multiply
    271,795.64x = 407,507.42 × 138,417.80
  4. Step 4: Simplify right side
    271,795.64x = 56,406,280,560.08
  5. Step 5: Solve for x
    x = 56,406,280,560.08/271,795.64
  6. Step 6: Final answer
    x = 207,531.96

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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.