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Finding the Fourth Proportional to 421,505.76, 632,336.65 and 133,389.95

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Solution

The fourth proportional to 421,505.76, 632,336.65 and 133,389.95 is: 200,109.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,505.76 : 632,336.65 = 133,389.95 : x
  2. Step 2: Convert to fraction form
    421,505.76/632,336.65 = 133,389.95/x
  3. Step 3: Cross multiply
    421,505.76x = 632,336.65 × 133,389.95
  4. Step 4: Simplify right side
    421,505.76x = 84,347,355,374.03
  5. Step 5: Solve for x
    x = 84,347,355,374.03/421,505.76
  6. Step 6: Final answer
    x = 200,109.62

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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.