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Finding the Fourth Proportional to 442,215.52, 610,355.84 and 281,039.20

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Solution

The fourth proportional to 442,215.52, 610,355.84 and 281,039.20 is: 387,896.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,215.52 : 610,355.84 = 281,039.20 : x
  2. Step 2: Convert to fraction form
    442,215.52/610,355.84 = 281,039.20/x
  3. Step 3: Cross multiply
    442,215.52x = 610,355.84 × 281,039.20
  4. Step 4: Simplify right side
    442,215.52x = 171,533,916,988.93
  5. Step 5: Solve for x
    x = 171,533,916,988.93/442,215.52
  6. Step 6: Final answer
    x = 387,896.65

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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.