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Finding the Fourth Proportional to 289,813.40, 434,720.10 and 267,003.80

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Solution

The fourth proportional to 289,813.40, 434,720.10 and 267,003.80 is: 400,505.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,813.40 : 434,720.10 = 267,003.80 : x
  2. Step 2: Convert to fraction form
    289,813.40/434,720.10 = 267,003.80/x
  3. Step 3: Cross multiply
    289,813.40x = 434,720.10 × 267,003.80
  4. Step 4: Simplify right side
    289,813.40x = 116,071,918,636.38
  5. Step 5: Solve for x
    x = 116,071,918,636.38/289,813.40
  6. Step 6: Final answer
    x = 400,505.70

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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.