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Finding the Fourth Proportional to 431,878.59, 647,208.94 and 203,931

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Solution

The fourth proportional to 431,878.59, 647,208.94 and 203,931 is: 305,608.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,878.59 : 647,208.94 = 203,931 : x
  2. Step 2: Convert to fraction form
    431,878.59/647,208.94 = 203,931/x
  3. Step 3: Cross multiply
    431,878.59x = 647,208.94 × 203,931
  4. Step 4: Simplify right side
    431,878.59x = 131,985,966,343.14
  5. Step 5: Solve for x
    x = 131,985,966,343.14/431,878.59
  6. Step 6: Final answer
    x = 305,608.96

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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.