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Finding the Fourth Proportional to 431,704.92, 648,120.53 and 290,184.15

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Solution

The fourth proportional to 431,704.92, 648,120.53 and 290,184.15 is: 435,654.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,704.92 : 648,120.53 = 290,184.15 : x
  2. Step 2: Convert to fraction form
    431,704.92/648,120.53 = 290,184.15/x
  3. Step 3: Cross multiply
    431,704.92x = 648,120.53 × 290,184.15
  4. Step 4: Simplify right side
    431,704.92x = 188,074,300,742.64
  5. Step 5: Solve for x
    x = 188,074,300,742.64/431,704.92
  6. Step 6: Final answer
    x = 435,654.76

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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.