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Finding the Fourth Proportional to 587,669.92, 810,989.84 and 319,398.56

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Solution

The fourth proportional to 587,669.92, 810,989.84 and 319,398.56 is: 440,772.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,669.92 : 810,989.84 = 319,398.56 : x
  2. Step 2: Convert to fraction form
    587,669.92/810,989.84 = 319,398.56/x
  3. Step 3: Cross multiply
    587,669.92x = 810,989.84 × 319,398.56
  4. Step 4: Simplify right side
    587,669.92x = 259,028,987,070.63
  5. Step 5: Solve for x
    x = 259,028,987,070.63/587,669.92
  6. Step 6: Final answer
    x = 440,772.92

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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.