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Finding the Fourth Proportional to 442,456.40, 664,030.20 and 205,828.40

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Solution

The fourth proportional to 442,456.40, 664,030.20 and 205,828.40 is: 308,903.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,456.40 : 664,030.20 = 205,828.40 : x
  2. Step 2: Convert to fraction form
    442,456.40/664,030.20 = 205,828.40/x
  3. Step 3: Cross multiply
    442,456.40x = 664,030.20 × 205,828.40
  4. Step 4: Simplify right side
    442,456.40x = 136,676,273,617.68
  5. Step 5: Solve for x
    x = 136,676,273,617.68/442,456.40
  6. Step 6: Final answer
    x = 308,903.37

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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.