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Finding the Fourth Proportional to 507,205.06, 699,964.08 and 280,850.56

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Solution

The fourth proportional to 507,205.06, 699,964.08 and 280,850.56 is: 387,585.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,205.06 : 699,964.08 = 280,850.56 : x
  2. Step 2: Convert to fraction form
    507,205.06/699,964.08 = 280,850.56/x
  3. Step 3: Cross multiply
    507,205.06x = 699,964.08 × 280,850.56
  4. Step 4: Simplify right side
    507,205.06x = 196,585,303,847.89
  5. Step 5: Solve for x
    x = 196,585,303,847.89/507,205.06
  6. Step 6: Final answer
    x = 387,585.45

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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.