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Finding the Fourth Proportional to 442,924.70, 664,387.05 and 310,214.30

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Solution

The fourth proportional to 442,924.70, 664,387.05 and 310,214.30 is: 465,321.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,924.70 : 664,387.05 = 310,214.30 : x
  2. Step 2: Convert to fraction form
    442,924.70/664,387.05 = 310,214.30/x
  3. Step 3: Cross multiply
    442,924.70x = 664,387.05 × 310,214.30
  4. Step 4: Simplify right side
    442,924.70x = 206,102,363,644.82
  5. Step 5: Solve for x
    x = 206,102,363,644.82/442,924.70
  6. Step 6: Final answer
    x = 465,321.45

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1.5x scale

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.