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Finding the Fourth Proportional to 431,245.29, 646,827.42 and 203,487.87

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Solution

The fourth proportional to 431,245.29, 646,827.42 and 203,487.87 is: 305,212.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,245.29 : 646,827.42 = 203,487.87 : x
  2. Step 2: Convert to fraction form
    431,245.29/646,827.42 = 203,487.87/x
  3. Step 3: Cross multiply
    431,245.29x = 646,827.42 × 203,487.87
  4. Step 4: Simplify right side
    431,245.29x = 131,621,533,953.40
  5. Step 5: Solve for x
    x = 131,621,533,953.40/431,245.29
  6. Step 6: Final answer
    x = 305,212.69

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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.