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Finding the Fourth Proportional to 309,790.68, 464,601.52 and 85,097.69

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Solution

The fourth proportional to 309,790.68, 464,601.52 and 85,097.69 is: 127,623.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,790.68 : 464,601.52 = 85,097.69 : x
  2. Step 2: Convert to fraction form
    309,790.68/464,601.52 = 85,097.69/x
  3. Step 3: Cross multiply
    309,790.68x = 464,601.52 × 85,097.69
  4. Step 4: Simplify right side
    309,790.68x = 39,536,515,648.11
  5. Step 5: Solve for x
    x = 39,536,515,648.11/309,790.68
  6. Step 6: Final answer
    x = 127,623.32

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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.