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Finding the Fourth Proportional to 587,481, 810,728.73 and 319,209

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Solution

The fourth proportional to 587,481, 810,728.73 and 319,209 is: 440,511.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,481 : 810,728.73 = 319,209 : x
  2. Step 2: Convert to fraction form
    587,481/810,728.73 = 319,209/x
  3. Step 3: Cross multiply
    587,481x = 810,728.73 × 319,209
  4. Step 4: Simplify right side
    587,481x = 258,791,907,174.57
  5. Step 5: Solve for x
    x = 258,791,907,174.57/587,481
  6. Step 6: Final answer
    x = 440,511.11

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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.