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Finding the Fourth Proportional to 442,175.06, 610,299.81 and 280,998.50

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Solution

The fourth proportional to 442,175.06, 610,299.81 and 280,998.50 is: 387,840.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,175.06 : 610,299.81 = 280,998.50 : x
  2. Step 2: Convert to fraction form
    442,175.06/610,299.81 = 280,998.50/x
  3. Step 3: Cross multiply
    442,175.06x = 610,299.81 × 280,998.50
  4. Step 4: Simplify right side
    442,175.06x = 171,493,331,160.29
  5. Step 5: Solve for x
    x = 171,493,331,160.29/442,175.06
  6. Step 6: Final answer
    x = 387,840.35

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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.