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Finding the Fourth Proportional to 587,286.02, 810,433.05 and 319,008.26

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Solution

The fourth proportional to 587,286.02, 810,433.05 and 319,008.26 is: 440,219.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,286.02 : 810,433.05 = 319,008.26 : x
  2. Step 2: Convert to fraction form
    587,286.02/810,433.05 = 319,008.26/x
  3. Step 3: Cross multiply
    587,286.02x = 810,433.05 × 319,008.26
  4. Step 4: Simplify right side
    587,286.02x = 258,534,837,126.99
  5. Step 5: Solve for x
    x = 258,534,837,126.99/587,286.02
  6. Step 6: Final answer
    x = 440,219.63

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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.