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Finding the Fourth Proportional to 653,089.20, 978,321.60 and 372,278.40

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Solution

The fourth proportional to 653,089.20, 978,321.60 and 372,278.40 is: 557,669.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,089.20 : 978,321.60 = 372,278.40 : x
  2. Step 2: Convert to fraction form
    653,089.20/978,321.60 = 372,278.40/x
  3. Step 3: Cross multiply
    653,089.20x = 978,321.60 × 372,278.40
  4. Step 4: Simplify right side
    653,089.20x = 364,207,999,933.44
  5. Step 5: Solve for x
    x = 364,207,999,933.44/653,089.20
  6. Step 6: Final answer
    x = 557,669.61

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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.