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Finding the Fourth Proportional to 432,857.60, 649,286.40 and 401,364.80

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Solution

The fourth proportional to 432,857.60, 649,286.40 and 401,364.80 is: 602,047.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,857.60 : 649,286.40 = 401,364.80 : x
  2. Step 2: Convert to fraction form
    432,857.60/649,286.40 = 401,364.80/x
  3. Step 3: Cross multiply
    432,857.60x = 649,286.40 × 401,364.80
  4. Step 4: Simplify right side
    432,857.60x = 260,600,706,078.72
  5. Step 5: Solve for x
    x = 260,600,706,078.72/432,857.60
  6. Step 6: Final answer
    x = 602,047.20

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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.