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Finding the Fourth Proportional to 507,223.92, 699,968.97 and 280,869.42

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Solution

The fourth proportional to 507,223.92, 699,968.97 and 280,869.42 is: 387,599.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,223.92 : 699,968.97 = 280,869.42 : x
  2. Step 2: Convert to fraction form
    507,223.92/699,968.97 = 280,869.42/x
  3. Step 3: Cross multiply
    507,223.92x = 699,968.97 × 280,869.42
  4. Step 4: Simplify right side
    507,223.92x = 196,599,878,621.90
  5. Step 5: Solve for x
    x = 196,599,878,621.90/507,223.92
  6. Step 6: Final answer
    x = 387,599.78

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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.