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Finding the Fourth Proportional to 309,041.73, 463,757.61 and 131,548.47

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Solution

The fourth proportional to 309,041.73, 463,757.61 and 131,548.47 is: 197,405.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,041.73 : 463,757.61 = 131,548.47 : x
  2. Step 2: Convert to fraction form
    309,041.73/463,757.61 = 131,548.47/x
  3. Step 3: Cross multiply
    309,041.73x = 463,757.61 × 131,548.47
  4. Step 4: Simplify right side
    309,041.73x = 61,006,604,046.36
  5. Step 5: Solve for x
    x = 61,006,604,046.36/309,041.73
  6. Step 6: Final answer
    x = 197,405.72

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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.