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Finding the Fourth Proportional to 513,731.80, 770,598.78 and 277,185.88

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Solution

The fourth proportional to 513,731.80, 770,598.78 and 277,185.88 is: 415,779.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,731.80 : 770,598.78 = 277,185.88 : x
  2. Step 2: Convert to fraction form
    513,731.80/770,598.78 = 277,185.88/x
  3. Step 3: Cross multiply
    513,731.80x = 770,598.78 × 277,185.88
  4. Step 4: Simplify right side
    513,731.80x = 213,599,100,961.23
  5. Step 5: Solve for x
    x = 213,599,100,961.23/513,731.80
  6. Step 6: Final answer
    x = 415,779.40

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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.