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Finding the Fourth Proportional to 652,182.88, 978,316.08 and 225,759.76

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Solution

The fourth proportional to 652,182.88, 978,316.08 and 225,759.76 is: 338,654.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,182.88 : 978,316.08 = 225,759.76 : x
  2. Step 2: Convert to fraction form
    652,182.88/978,316.08 = 225,759.76/x
  3. Step 3: Cross multiply
    652,182.88x = 978,316.08 × 225,759.76
  4. Step 4: Simplify right side
    652,182.88x = 220,864,403,424.94
  5. Step 5: Solve for x
    x = 220,864,403,424.94/652,182.88
  6. Step 6: Final answer
    x = 338,654.10

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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.