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Finding the Fourth Proportional to 442,955.70, 664,433.55 and 307,653.30

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Solution

The fourth proportional to 442,955.70, 664,433.55 and 307,653.30 is: 461,479.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,955.70 : 664,433.55 = 307,653.30 : x
  2. Step 2: Convert to fraction form
    442,955.70/664,433.55 = 307,653.30/x
  3. Step 3: Cross multiply
    442,955.70x = 664,433.55 × 307,653.30
  4. Step 4: Simplify right side
    442,955.70x = 204,415,174,288.22
  5. Step 5: Solve for x
    x = 204,415,174,288.22/442,955.70
  6. Step 6: Final answer
    x = 461,479.95

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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.