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Finding the Fourth Proportional to 506,679.04, 699,216.06 and 280,324

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Solution

The fourth proportional to 506,679.04, 699,216.06 and 280,324 is: 386,846.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,679.04 : 699,216.06 = 280,324 : x
  2. Step 2: Convert to fraction form
    506,679.04/699,216.06 = 280,324/x
  3. Step 3: Cross multiply
    506,679.04x = 699,216.06 × 280,324
  4. Step 4: Simplify right side
    506,679.04x = 196,007,042,803.44
  5. Step 5: Solve for x
    x = 196,007,042,803.44/506,679.04
  6. Step 6: Final answer
    x = 386,846.56

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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.