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Finding the Fourth Proportional to 309,653.69, 464,481.26 and 85,017.20

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Solution

The fourth proportional to 309,653.69, 464,481.26 and 85,017.20 is: 127,526.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,653.69 : 464,481.26 = 85,017.20 : x
  2. Step 2: Convert to fraction form
    309,653.69/464,481.26 = 85,017.20/x
  3. Step 3: Cross multiply
    309,653.69x = 464,481.26 × 85,017.20
  4. Step 4: Simplify right side
    309,653.69x = 39,488,896,177.67
  5. Step 5: Solve for x
    x = 39,488,896,177.67/309,653.69
  6. Step 6: Final answer
    x = 127,526.00

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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.