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Finding the Fourth Proportional to 513,779.27, 770,840.05 and 172,256.48

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Solution

The fourth proportional to 513,779.27, 770,840.05 and 172,256.48 is: 258,442.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,779.27 : 770,840.05 = 172,256.48 : x
  2. Step 2: Convert to fraction form
    513,779.27/770,840.05 = 172,256.48/x
  3. Step 3: Cross multiply
    513,779.27x = 770,840.05 × 172,256.48
  4. Step 4: Simplify right side
    513,779.27x = 132,782,193,656.02
  5. Step 5: Solve for x
    x = 132,782,193,656.02/513,779.27
  6. Step 6: Final answer
    x = 258,442.10

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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.