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Finding the Fourth Proportional to 515,162.16, 710,913.20 and 285,682.43

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Solution

The fourth proportional to 515,162.16, 710,913.20 and 285,682.43 is: 394,235.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,162.16 : 710,913.20 = 285,682.43 : x
  2. Step 2: Convert to fraction form
    515,162.16/710,913.20 = 285,682.43/x
  3. Step 3: Cross multiply
    515,162.16x = 710,913.20 × 285,682.43
  4. Step 4: Simplify right side
    515,162.16x = 203,095,410,843.95
  5. Step 5: Solve for x
    x = 203,095,410,843.95/515,162.16
  6. Step 6: Final answer
    x = 394,235.89

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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.