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Finding the Fourth Proportional to 421,834.90, 632,756.45 and 106,291.81

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Solution

The fourth proportional to 421,834.90, 632,756.45 and 106,291.81 is: 159,438.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,834.90 : 632,756.45 = 106,291.81 : x
  2. Step 2: Convert to fraction form
    421,834.90/632,756.45 = 106,291.81/x
  3. Step 3: Cross multiply
    421,834.90x = 632,756.45 × 106,291.81
  4. Step 4: Simplify right side
    421,834.90x = 67,256,828,359.67
  5. Step 5: Solve for x
    x = 67,256,828,359.67/421,834.90
  6. Step 6: Final answer
    x = 159,438.75

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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.