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Finding the Fourth Proportional to 271,707.80, 407,868.90 and 209,653.40

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Solution

The fourth proportional to 271,707.80, 407,868.90 and 209,653.40 is: 314,717.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,707.80 : 407,868.90 = 209,653.40 : x
  2. Step 2: Convert to fraction form
    271,707.80/407,868.90 = 209,653.40/x
  3. Step 3: Cross multiply
    271,707.80x = 407,868.90 × 209,653.40
  4. Step 4: Simplify right side
    271,707.80x = 85,511,101,639.26
  5. Step 5: Solve for x
    x = 85,511,101,639.26/271,707.80
  6. Step 6: Final answer
    x = 314,717.14

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1.5x scale

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.