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Finding the Fourth Proportional to 507,215.98, 699,949.46 and 280,856.62

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Solution

The fourth proportional to 507,215.98, 699,949.46 and 280,856.62 is: 387,577.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,215.98 : 699,949.46 = 280,856.62 : x
  2. Step 2: Convert to fraction form
    507,215.98/699,949.46 = 280,856.62/x
  3. Step 3: Cross multiply
    507,215.98x = 699,949.46 × 280,856.62
  4. Step 4: Simplify right side
    507,215.98x = 196,585,439,506.43
  5. Step 5: Solve for x
    x = 196,585,439,506.43/507,215.98
  6. Step 6: Final answer
    x = 387,577.38

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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.