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Finding the Fourth Proportional to 507,147.50, 699,885.42 and 280,793

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Solution

The fourth proportional to 507,147.50, 699,885.42 and 280,793 is: 387,506.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,147.50 : 699,885.42 = 280,793 : x
  2. Step 2: Convert to fraction form
    507,147.50/699,885.42 = 280,793/x
  3. Step 3: Cross multiply
    507,147.50x = 699,885.42 × 280,793
  4. Step 4: Simplify right side
    507,147.50x = 196,522,926,738.06
  5. Step 5: Solve for x
    x = 196,522,926,738.06/507,147.50
  6. Step 6: Final answer
    x = 387,506.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.