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Finding the Fourth Proportional to 653,081.20, 978,309.60 and 372,270.40

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Solution

The fourth proportional to 653,081.20, 978,309.60 and 372,270.40 is: 557,657.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,081.20 : 978,309.60 = 372,270.40 : x
  2. Step 2: Convert to fraction form
    653,081.20/978,309.60 = 372,270.40/x
  3. Step 3: Cross multiply
    653,081.20x = 978,309.60 × 372,270.40
  4. Step 4: Simplify right side
    653,081.20x = 364,195,706,115.84
  5. Step 5: Solve for x
    x = 364,195,706,115.84/653,081.20
  6. Step 6: Final answer
    x = 557,657.62

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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.