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Finding the Fourth Proportional to 442,174.56, 610,299.12 and 280,998

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Solution

The fourth proportional to 442,174.56, 610,299.12 and 280,998 is: 387,839.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,174.56 : 610,299.12 = 280,998 : x
  2. Step 2: Convert to fraction form
    442,174.56/610,299.12 = 280,998/x
  3. Step 3: Cross multiply
    442,174.56x = 610,299.12 × 280,998
  4. Step 4: Simplify right side
    442,174.56x = 171,492,832,121.76
  5. Step 5: Solve for x
    x = 171,492,832,121.76/442,174.56
  6. Step 6: Final answer
    x = 387,839.66

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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.