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Finding the Fourth Proportional to 271,806.40, 407,709.60 and 231,565.60

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Solution

The fourth proportional to 271,806.40, 407,709.60 and 231,565.60 is: 347,348.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,806.40 : 407,709.60 = 231,565.60 : x
  2. Step 2: Convert to fraction form
    271,806.40/407,709.60 = 231,565.60/x
  3. Step 3: Cross multiply
    271,806.40x = 407,709.60 × 231,565.60
  4. Step 4: Simplify right side
    271,806.40x = 94,411,518,149.76
  5. Step 5: Solve for x
    x = 94,411,518,149.76/271,806.40
  6. Step 6: Final answer
    x = 347,348.40

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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.