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Finding the Fourth Proportional to 513,549.54, 770,654.80 and 277,055.46

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Solution

The fourth proportional to 513,549.54, 770,654.80 and 277,055.46 is: 415,761.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,549.54 : 770,654.80 = 277,055.46 : x
  2. Step 2: Convert to fraction form
    513,549.54/770,654.80 = 277,055.46/x
  3. Step 3: Cross multiply
    513,549.54x = 770,654.80 × 277,055.46
  4. Step 4: Simplify right side
    513,549.54x = 213,514,120,115.21
  5. Step 5: Solve for x
    x = 213,514,120,115.21/513,549.54
  6. Step 6: Final answer
    x = 415,761.49

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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.