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Finding the Fourth Proportional to 329,030.20, 494,582.10 and 322,809.40

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Solution

The fourth proportional to 329,030.20, 494,582.10 and 322,809.40 is: 485,231.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,030.20 : 494,582.10 = 322,809.40 : x
  2. Step 2: Convert to fraction form
    329,030.20/494,582.10 = 322,809.40/x
  3. Step 3: Cross multiply
    329,030.20x = 494,582.10 × 322,809.40
  4. Step 4: Simplify right side
    329,030.20x = 159,655,750,951.74
  5. Step 5: Solve for x
    x = 159,655,750,951.74/329,030.20
  6. Step 6: Final answer
    x = 485,231.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.