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Finding the Fourth Proportional to 421,834.40, 632,652.24 and 122,235.92

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Solution

The fourth proportional to 421,834.40, 632,652.24 and 122,235.92 is: 183,325.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,834.40 : 632,652.24 = 122,235.92 : x
  2. Step 2: Convert to fraction form
    421,834.40/632,652.24 = 122,235.92/x
  3. Step 3: Cross multiply
    421,834.40x = 632,652.24 × 122,235.92
  4. Step 4: Simplify right side
    421,834.40x = 77,332,828,596.46
  5. Step 5: Solve for x
    x = 77,332,828,596.46/421,834.40
  6. Step 6: Final answer
    x = 183,325.09

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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.