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Finding the Fourth Proportional to 442,165.56, 610,286.70 and 280,989

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Solution

The fourth proportional to 442,165.56, 610,286.70 and 280,989 is: 387,827.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,165.56 : 610,286.70 = 280,989 : x
  2. Step 2: Convert to fraction form
    442,165.56/610,286.70 = 280,989/x
  3. Step 3: Cross multiply
    442,165.56x = 610,286.70 × 280,989
  4. Step 4: Simplify right side
    442,165.56x = 171,483,849,546.30
  5. Step 5: Solve for x
    x = 171,483,849,546.30/442,165.56
  6. Step 6: Final answer
    x = 387,827.24

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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.