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Finding the Fourth Proportional to 578,162.61, 797,865.39 and 323,514

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Solution

The fourth proportional to 578,162.61, 797,865.39 and 323,514 is: 446,449.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,162.61 : 797,865.39 = 323,514 : x
  2. Step 2: Convert to fraction form
    578,162.61/797,865.39 = 323,514/x
  3. Step 3: Cross multiply
    578,162.61x = 797,865.39 × 323,514
  4. Step 4: Simplify right side
    578,162.61x = 258,120,623,780.46
  5. Step 5: Solve for x
    x = 258,120,623,780.46/578,162.61
  6. Step 6: Final answer
    x = 446,449.87

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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.