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Finding the Fourth Proportional to 429,306.96, 644,069.14 and 303,193.56

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Solution

The fourth proportional to 429,306.96, 644,069.14 and 303,193.56 is: 454,867.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,306.96 : 644,069.14 = 303,193.56 : x
  2. Step 2: Convert to fraction form
    429,306.96/644,069.14 = 303,193.56/x
  3. Step 3: Cross multiply
    429,306.96x = 644,069.14 × 303,193.56
  4. Step 4: Simplify right side
    429,306.96x = 195,277,615,442.74
  5. Step 5: Solve for x
    x = 195,277,615,442.74/429,306.96
  6. Step 6: Final answer
    x = 454,867.11

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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.