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Finding the Fourth Proportional to 515,740.92, 770,081.79 and 462,086.52

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Solution

The fourth proportional to 515,740.92, 770,081.79 and 462,086.52 is: 689,967.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,740.92 : 770,081.79 = 462,086.52 : x
  2. Step 2: Convert to fraction form
    515,740.92/770,081.79 = 462,086.52/x
  3. Step 3: Cross multiply
    515,740.92x = 770,081.79 × 462,086.52
  4. Step 4: Simplify right side
    515,740.92x = 355,844,414,456.47
  5. Step 5: Solve for x
    x = 355,844,414,456.47/515,740.92
  6. Step 6: Final answer
    x = 689,967.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.