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Finding the Fourth Proportional to 431,405.10, 595,344.87 and 240,411.96

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Solution

The fourth proportional to 431,405.10, 595,344.87 and 240,411.96 is: 331,771.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,405.10 : 595,344.87 = 240,411.96 : x
  2. Step 2: Convert to fraction form
    431,405.10/595,344.87 = 240,411.96/x
  3. Step 3: Cross multiply
    431,405.10x = 595,344.87 × 240,411.96
  4. Step 4: Simplify right side
    431,405.10x = 143,128,027,072.65
  5. Step 5: Solve for x
    x = 143,128,027,072.65/431,405.10
  6. Step 6: Final answer
    x = 331,771.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.