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Finding the Fourth Proportional to 653,099.20, 978,336.60 and 372,288.40

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Solution

The fourth proportional to 653,099.20, 978,336.60 and 372,288.40 is: 557,684.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,099.20 : 978,336.60 = 372,288.40 : x
  2. Step 2: Convert to fraction form
    653,099.20/978,336.60 = 372,288.40/x
  3. Step 3: Cross multiply
    653,099.20x = 978,336.60 × 372,288.40
  4. Step 4: Simplify right side
    653,099.20x = 364,223,367,475.44
  5. Step 5: Solve for x
    x = 364,223,367,475.44/653,099.20
  6. Step 6: Final answer
    x = 557,684.60

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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.