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Finding the Fourth Proportional to 398,653.89, 597,390.09 and 328,078.05

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Solution

The fourth proportional to 398,653.89, 597,390.09 and 328,078.05 is: 491,630.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,653.89 : 597,390.09 = 328,078.05 : x
  2. Step 2: Convert to fraction form
    398,653.89/597,390.09 = 328,078.05/x
  3. Step 3: Cross multiply
    398,653.89x = 597,390.09 × 328,078.05
  4. Step 4: Simplify right side
    398,653.89x = 195,990,575,816.52
  5. Step 5: Solve for x
    x = 195,990,575,816.52/398,653.89
  6. Step 6: Final answer
    x = 491,630.91

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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.