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Finding the Fourth Proportional to 338,061.30, 506,107.80 and 328,219.80

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Solution

The fourth proportional to 338,061.30, 506,107.80 and 328,219.80 is: 491,374.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,061.30 : 506,107.80 = 328,219.80 : x
  2. Step 2: Convert to fraction form
    338,061.30/506,107.80 = 328,219.80/x
  3. Step 3: Cross multiply
    338,061.30x = 506,107.80 × 328,219.80
  4. Step 4: Simplify right side
    338,061.30x = 166,114,600,894.44
  5. Step 5: Solve for x
    x = 166,114,600,894.44/338,061.30
  6. Step 6: Final answer
    x = 491,374.20

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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.