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Finding the Fourth Proportional to 328,823.70, 493,235.55 and 299,793.30

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Solution

The fourth proportional to 328,823.70, 493,235.55 and 299,793.30 is: 449,689.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,823.70 : 493,235.55 = 299,793.30 : x
  2. Step 2: Convert to fraction form
    328,823.70/493,235.55 = 299,793.30/x
  3. Step 3: Cross multiply
    328,823.70x = 493,235.55 × 299,793.30
  4. Step 4: Simplify right side
    328,823.70x = 147,868,713,211.82
  5. Step 5: Solve for x
    x = 147,868,713,211.82/328,823.70
  6. Step 6: Final answer
    x = 449,689.95

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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.