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Finding the Fourth Proportional to 431,367.60, 647,051.40 and 150,855.60

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Solution

The fourth proportional to 431,367.60, 647,051.40 and 150,855.60 is: 226,283.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,367.60 : 647,051.40 = 150,855.60 : x
  2. Step 2: Convert to fraction form
    431,367.60/647,051.40 = 150,855.60/x
  3. Step 3: Cross multiply
    431,367.60x = 647,051.40 × 150,855.60
  4. Step 4: Simplify right side
    431,367.60x = 97,611,327,177.84
  5. Step 5: Solve for x
    x = 97,611,327,177.84/431,367.60
  6. Step 6: Final answer
    x = 226,283.40

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1.5x scale

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.