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Finding the Fourth Proportional to 598,481, 825,903.78 and 330,209

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Solution

The fourth proportional to 598,481, 825,903.78 and 330,209 is: 455,688.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,481 : 825,903.78 = 330,209 : x
  2. Step 2: Convert to fraction form
    598,481/825,903.78 = 330,209/x
  3. Step 3: Cross multiply
    598,481x = 825,903.78 × 330,209
  4. Step 4: Simplify right side
    598,481x = 272,720,861,290.02
  5. Step 5: Solve for x
    x = 272,720,861,290.02/598,481
  6. Step 6: Final answer
    x = 455,688.42

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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.