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Finding the Fourth Proportional to 513,070.56, 707,961.60 and 292,309.92

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Solution

The fourth proportional to 513,070.56, 707,961.60 and 292,309.92 is: 403,344.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,070.56 : 707,961.60 = 292,309.92 : x
  2. Step 2: Convert to fraction form
    513,070.56/707,961.60 = 292,309.92/x
  3. Step 3: Cross multiply
    513,070.56x = 707,961.60 × 292,309.92
  4. Step 4: Simplify right side
    513,070.56x = 206,944,198,659.07
  5. Step 5: Solve for x
    x = 206,944,198,659.07/513,070.56
  6. Step 6: Final answer
    x = 403,344.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.