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Finding the Fourth Proportional to 515,865.60, 774,224.80 and 263,332.64

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Solution

The fourth proportional to 515,865.60, 774,224.80 and 263,332.64 is: 395,216.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,865.60 : 774,224.80 = 263,332.64 : x
  2. Step 2: Convert to fraction form
    515,865.60/774,224.80 = 263,332.64/x
  3. Step 3: Cross multiply
    515,865.60x = 774,224.80 × 263,332.64
  4. Step 4: Simplify right side
    515,865.60x = 203,878,660,537.47
  5. Step 5: Solve for x
    x = 203,878,660,537.47/515,865.60
  6. Step 6: Final answer
    x = 395,216.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.