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Finding the Fourth Proportional to 421,467, 632,069.28 and 140,918.64

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Solution

The fourth proportional to 421,467, 632,069.28 and 140,918.64 is: 211,334.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,467 : 632,069.28 = 140,918.64 : x
  2. Step 2: Convert to fraction form
    421,467/632,069.28 = 140,918.64/x
  3. Step 3: Cross multiply
    421,467x = 632,069.28 × 140,918.64
  4. Step 4: Simplify right side
    421,467x = 89,070,343,323.38
  5. Step 5: Solve for x
    x = 89,070,343,323.38/421,467
  6. Step 6: Final answer
    x = 211,334.09

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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.