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Finding the Fourth Proportional to 270,704.10, 406,056.15 and 252,989.40

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Solution

The fourth proportional to 270,704.10, 406,056.15 and 252,989.40 is: 379,484.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,704.10 : 406,056.15 = 252,989.40 : x
  2. Step 2: Convert to fraction form
    270,704.10/406,056.15 = 252,989.40/x
  3. Step 3: Cross multiply
    270,704.10x = 406,056.15 × 252,989.40
  4. Step 4: Simplify right side
    270,704.10x = 102,727,901,754.81
  5. Step 5: Solve for x
    x = 102,727,901,754.81/270,704.10
  6. Step 6: Final answer
    x = 379,484.10

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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.