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Finding the Fourth Proportional to 431,100.65, 645,546.86 and 359,846.13

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Solution

The fourth proportional to 431,100.65, 645,546.86 and 359,846.13 is: 538,847.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,100.65 : 645,546.86 = 359,846.13 : x
  2. Step 2: Convert to fraction form
    431,100.65/645,546.86 = 359,846.13/x
  3. Step 3: Cross multiply
    431,100.65x = 645,546.86 × 359,846.13
  4. Step 4: Simplify right side
    431,100.65x = 232,297,537,505.42
  5. Step 5: Solve for x
    x = 232,297,537,505.42/431,100.65
  6. Step 6: Final answer
    x = 538,847.58

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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.