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Finding the Fourth Proportional to 442,898.70, 664,348.05 and 400,908.30

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Solution

The fourth proportional to 442,898.70, 664,348.05 and 400,908.30 is: 601,362.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,898.70 : 664,348.05 = 400,908.30 : x
  2. Step 2: Convert to fraction form
    442,898.70/664,348.05 = 400,908.30/x
  3. Step 3: Cross multiply
    442,898.70x = 664,348.05 × 400,908.30
  4. Step 4: Simplify right side
    442,898.70x = 266,342,647,333.82
  5. Step 5: Solve for x
    x = 266,342,647,333.82/442,898.70
  6. Step 6: Final answer
    x = 601,362.45

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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.