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Finding the Fourth Proportional to 271,701.30, 407,859.15 and 209,646.90

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Solution

The fourth proportional to 271,701.30, 407,859.15 and 209,646.90 is: 314,707.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,701.30 : 407,859.15 = 209,646.90 : x
  2. Step 2: Convert to fraction form
    271,701.30/407,859.15 = 209,646.90/x
  3. Step 3: Cross multiply
    271,701.30x = 407,859.15 × 209,646.90
  4. Step 4: Simplify right side
    271,701.30x = 85,506,406,434.14
  5. Step 5: Solve for x
    x = 85,506,406,434.14/271,701.30
  6. Step 6: Final answer
    x = 314,707.39

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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.