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Finding the Fourth Proportional to 653,169.12, 980,055 and 298,291.92

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Solution

The fourth proportional to 653,169.12, 980,055 and 298,291.92 is: 447,575.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,169.12 : 980,055 = 298,291.92 : x
  2. Step 2: Convert to fraction form
    653,169.12/980,055 = 298,291.92/x
  3. Step 3: Cross multiply
    653,169.12x = 980,055 × 298,291.92
  4. Step 4: Simplify right side
    653,169.12x = 292,342,487,655.60
  5. Step 5: Solve for x
    x = 292,342,487,655.60/653,169.12
  6. Step 6: Final answer
    x = 447,575.49

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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.