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Finding the Fourth Proportional to 510,764.68, 704,517.77 and 319,445.92

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Solution

The fourth proportional to 510,764.68, 704,517.77 and 319,445.92 is: 440,624.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,764.68 : 704,517.77 = 319,445.92 : x
  2. Step 2: Convert to fraction form
    510,764.68/704,517.77 = 319,445.92/x
  3. Step 3: Cross multiply
    510,764.68x = 704,517.77 × 319,445.92
  4. Step 4: Simplify right side
    510,764.68x = 225,055,326,231.32
  5. Step 5: Solve for x
    x = 225,055,326,231.32/510,764.68
  6. Step 6: Final answer
    x = 440,624.30

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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.