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Finding the Fourth Proportional to 472,940.38, 709,690.98 and 443,017.42

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Solution

The fourth proportional to 472,940.38, 709,690.98 and 443,017.42 is: 664,788.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,940.38 : 709,690.98 = 443,017.42 : x
  2. Step 2: Convert to fraction form
    472,940.38/709,690.98 = 443,017.42/x
  3. Step 3: Cross multiply
    472,940.38x = 709,690.98 × 443,017.42
  4. Step 4: Simplify right side
    472,940.38x = 314,405,466,956.87
  5. Step 5: Solve for x
    x = 314,405,466,956.87/472,940.38
  6. Step 6: Final answer
    x = 664,788.80

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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.