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Finding the Fourth Proportional to 331,509.42, 497,042.70 and 103,727.91

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Solution

The fourth proportional to 331,509.42, 497,042.70 and 103,727.91 is: 155,522.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,509.42 : 497,042.70 = 103,727.91 : x
  2. Step 2: Convert to fraction form
    331,509.42/497,042.70 = 103,727.91/x
  3. Step 3: Cross multiply
    331,509.42x = 497,042.70 × 103,727.91
  4. Step 4: Simplify right side
    331,509.42x = 51,557,197,966.54
  5. Step 5: Solve for x
    x = 51,557,197,966.54/331,509.42
  6. Step 6: Final answer
    x = 155,522.57

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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.