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Finding the Fourth Proportional to 507,205.56, 699,964.77 and 280,851.06

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Solution

The fourth proportional to 507,205.56, 699,964.77 and 280,851.06 is: 387,586.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,205.56 : 699,964.77 = 280,851.06 : x
  2. Step 2: Convert to fraction form
    507,205.56/699,964.77 = 280,851.06/x
  3. Step 3: Cross multiply
    507,205.56x = 699,964.77 × 280,851.06
  4. Step 4: Simplify right side
    507,205.56x = 196,585,847,617.16
  5. Step 5: Solve for x
    x = 196,585,847,617.16/507,205.56
  6. Step 6: Final answer
    x = 387,586.14

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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.