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Finding the Fourth Proportional to 442,927.81, 664,479.15 and 162,447.49

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Solution

The fourth proportional to 442,927.81, 664,479.15 and 162,447.49 is: 243,703.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,927.81 : 664,479.15 = 162,447.49 : x
  2. Step 2: Convert to fraction form
    442,927.81/664,479.15 = 162,447.49/x
  3. Step 3: Cross multiply
    442,927.81x = 664,479.15 × 162,447.49
  4. Step 4: Simplify right side
    442,927.81x = 107,942,970,074.83
  5. Step 5: Solve for x
    x = 107,942,970,074.83/442,927.81
  6. Step 6: Final answer
    x = 243,703.30

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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.