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Finding the Fourth Proportional to 429,147.60, 643,721.40 and 240,190.80

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Solution

The fourth proportional to 429,147.60, 643,721.40 and 240,190.80 is: 360,286.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,147.60 : 643,721.40 = 240,190.80 : x
  2. Step 2: Convert to fraction form
    429,147.60/643,721.40 = 240,190.80/x
  3. Step 3: Cross multiply
    429,147.60x = 643,721.40 × 240,190.80
  4. Step 4: Simplify right side
    429,147.60x = 154,615,958,043.12
  5. Step 5: Solve for x
    x = 154,615,958,043.12/429,147.60
  6. Step 6: Final answer
    x = 360,286.20

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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.