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Finding the Fourth Proportional to 421,634.40, 632,529.36 and 133,518.72

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Solution

The fourth proportional to 421,634.40, 632,529.36 and 133,518.72 is: 200,302.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,634.40 : 632,529.36 = 133,518.72 : x
  2. Step 2: Convert to fraction form
    421,634.40/632,529.36 = 133,518.72/x
  3. Step 3: Cross multiply
    421,634.40x = 632,529.36 × 133,518.72
  4. Step 4: Simplify right side
    421,634.40x = 84,454,510,509.62
  5. Step 5: Solve for x
    x = 84,454,510,509.62/421,634.40
  6. Step 6: Final answer
    x = 200,302.70

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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.