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Finding the Fourth Proportional to 511,390.34, 767,085.44 and 485,819.54

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Solution

The fourth proportional to 511,390.34, 767,085.44 and 485,819.54 is: 728,729.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,390.34 : 767,085.44 = 485,819.54 : x
  2. Step 2: Convert to fraction form
    511,390.34/767,085.44 = 485,819.54/x
  3. Step 3: Cross multiply
    511,390.34x = 767,085.44 × 485,819.54
  4. Step 4: Simplify right side
    511,390.34x = 372,665,094,946.28
  5. Step 5: Solve for x
    x = 372,665,094,946.28/511,390.34
  6. Step 6: Final answer
    x = 728,729.24

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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.