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Finding the Fourth Proportional to 588,481, 812,116.74 and 320,209

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Solution

The fourth proportional to 588,481, 812,116.74 and 320,209 is: 441,895.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,481 : 812,116.74 = 320,209 : x
  2. Step 2: Convert to fraction form
    588,481/812,116.74 = 320,209/x
  3. Step 3: Cross multiply
    588,481x = 812,116.74 × 320,209
  4. Step 4: Simplify right side
    588,481x = 260,047,089,198.66
  5. Step 5: Solve for x
    x = 260,047,089,198.66/588,481
  6. Step 6: Final answer
    x = 441,895.47

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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.