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Finding the Fourth Proportional to 427,287.70, 640,931.55 and 267,855.40

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Solution

The fourth proportional to 427,287.70, 640,931.55 and 267,855.40 is: 401,783.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,287.70 : 640,931.55 = 267,855.40 : x
  2. Step 2: Convert to fraction form
    427,287.70/640,931.55 = 267,855.40/x
  3. Step 3: Cross multiply
    427,287.70x = 640,931.55 × 267,855.40
  4. Step 4: Simplify right side
    427,287.70x = 171,676,976,697.87
  5. Step 5: Solve for x
    x = 171,676,976,697.87/427,287.70
  6. Step 6: Final answer
    x = 401,783.10

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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.