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Finding the Fourth Proportional to 515,034.86, 710,756.61 and 285,601.82

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Solution

The fourth proportional to 515,034.86, 710,756.61 and 285,601.82 is: 394,135.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,034.86 : 710,756.61 = 285,601.82 : x
  2. Step 2: Convert to fraction form
    515,034.86/710,756.61 = 285,601.82/x
  3. Step 3: Cross multiply
    515,034.86x = 710,756.61 × 285,601.82
  4. Step 4: Simplify right side
    515,034.86x = 202,993,376,768.24
  5. Step 5: Solve for x
    x = 202,993,376,768.24/515,034.86
  6. Step 6: Final answer
    x = 394,135.22

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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.