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Finding the Fourth Proportional to 431,051.89, 646,537.93 and 203,295.28

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Solution

The fourth proportional to 431,051.89, 646,537.93 and 203,295.28 is: 304,924.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,051.89 : 646,537.93 = 203,295.28 : x
  2. Step 2: Convert to fraction form
    431,051.89/646,537.93 = 203,295.28/x
  3. Step 3: Cross multiply
    431,051.89x = 646,537.93 × 203,295.28
  4. Step 4: Simplify right side
    431,051.89x = 131,438,109,509.97
  5. Step 5: Solve for x
    x = 131,438,109,509.97/431,051.89
  6. Step 6: Final answer
    x = 304,924.10

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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.