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Finding the Fourth Proportional to 587,521, 810,783.84 and 319,249

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Solution

The fourth proportional to 587,521, 810,783.84 and 319,249 is: 440,566.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,521 : 810,783.84 = 319,249 : x
  2. Step 2: Convert to fraction form
    587,521/810,783.84 = 319,249/x
  3. Step 3: Cross multiply
    587,521x = 810,783.84 × 319,249
  4. Step 4: Simplify right side
    587,521x = 258,841,930,136.16
  5. Step 5: Solve for x
    x = 258,841,930,136.16/587,521
  6. Step 6: Final answer
    x = 440,566.26

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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.