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Finding the Fourth Proportional to 421,474, 632,079.76 and 140,925.68

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Solution

The fourth proportional to 421,474, 632,079.76 and 140,925.68 is: 211,344.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,474 : 632,079.76 = 140,925.68 : x
  2. Step 2: Convert to fraction form
    421,474/632,079.76 = 140,925.68/x
  3. Step 3: Cross multiply
    421,474x = 632,079.76 × 140,925.68
  4. Step 4: Simplify right side
    421,474x = 89,076,269,992.24
  5. Step 5: Solve for x
    x = 89,076,269,992.24/421,474
  6. Step 6: Final answer
    x = 211,344.64

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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.