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Finding the Fourth Proportional to 421,833.90, 632,754.95 and 106,290.81

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Solution

The fourth proportional to 421,833.90, 632,754.95 and 106,290.81 is: 159,437.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,833.90 : 632,754.95 = 106,290.81 : x
  2. Step 2: Convert to fraction form
    421,833.90/632,754.95 = 106,290.81/x
  3. Step 3: Cross multiply
    421,833.90x = 632,754.95 × 106,290.81
  4. Step 4: Simplify right side
    421,833.90x = 67,256,032,471.78
  5. Step 5: Solve for x
    x = 67,256,032,471.78/421,833.90
  6. Step 6: Final answer
    x = 159,437.24

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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.