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Finding the Fourth Proportional to 507,146.50, 699,884.04 and 280,792

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Solution

The fourth proportional to 507,146.50, 699,884.04 and 280,792 is: 387,505.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,146.50 : 699,884.04 = 280,792 : x
  2. Step 2: Convert to fraction form
    507,146.50/699,884.04 = 280,792/x
  3. Step 3: Cross multiply
    507,146.50x = 699,884.04 × 280,792
  4. Step 4: Simplify right side
    507,146.50x = 196,521,839,359.68
  5. Step 5: Solve for x
    x = 196,521,839,359.68/507,146.50
  6. Step 6: Final answer
    x = 387,505.07

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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.