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Finding the Fourth Proportional to 515,382.48, 711,203.81 and 285,937.32

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Solution

The fourth proportional to 515,382.48, 711,203.81 and 285,937.32 is: 394,580.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,382.48 : 711,203.81 = 285,937.32 : x
  2. Step 2: Convert to fraction form
    515,382.48/711,203.81 = 285,937.32/x
  3. Step 3: Cross multiply
    515,382.48x = 711,203.81 × 285,937.32
  4. Step 4: Simplify right side
    515,382.48x = 203,359,714,250.91
  5. Step 5: Solve for x
    x = 203,359,714,250.91/515,382.48
  6. Step 6: Final answer
    x = 394,580.18

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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.