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Finding the Fourth Proportional to 515,382.45, 711,203.77 and 285,937.29

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Solution

The fourth proportional to 515,382.45, 711,203.77 and 285,937.29 is: 394,580.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,382.45 : 711,203.77 = 285,937.29 : x
  2. Step 2: Convert to fraction form
    515,382.45/711,203.77 = 285,937.29/x
  3. Step 3: Cross multiply
    515,382.45x = 711,203.77 × 285,937.29
  4. Step 4: Simplify right side
    515,382.45x = 203,359,678,631.58
  5. Step 5: Solve for x
    x = 203,359,678,631.58/515,382.45
  6. Step 6: Final answer
    x = 394,580.14

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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.