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Finding the Fourth Proportional to 421,828.79, 632,809.13 and 137,453.31

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Solution

The fourth proportional to 421,828.79, 632,809.13 and 137,453.31 is: 206,201.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,828.79 : 632,809.13 = 137,453.31 : x
  2. Step 2: Convert to fraction form
    421,828.79/632,809.13 = 137,453.31/x
  3. Step 3: Cross multiply
    421,828.79x = 632,809.13 × 137,453.31
  4. Step 4: Simplify right side
    421,828.79x = 86,981,708,829.45
  5. Step 5: Solve for x
    x = 86,981,708,829.45/421,828.79
  6. Step 6: Final answer
    x = 206,201.45

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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.