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Finding the Fourth Proportional to 508,864.20, 764,049.60 and 284,672.40

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Solution

The fourth proportional to 508,864.20, 764,049.60 and 284,672.40 is: 427,430.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,864.20 : 764,049.60 = 284,672.40 : x
  2. Step 2: Convert to fraction form
    508,864.20/764,049.60 = 284,672.40/x
  3. Step 3: Cross multiply
    508,864.20x = 764,049.60 × 284,672.40
  4. Step 4: Simplify right side
    508,864.20x = 217,503,833,351.04
  5. Step 5: Solve for x
    x = 217,503,833,351.04/508,864.20
  6. Step 6: Final answer
    x = 427,430.02

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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.