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Finding the Fourth Proportional to 398,866.74, 597,421.08 and 329,692.86

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Solution

The fourth proportional to 398,866.74, 597,421.08 and 329,692.86 is: 493,812.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,866.74 : 597,421.08 = 329,692.86 : x
  2. Step 2: Convert to fraction form
    398,866.74/597,421.08 = 329,692.86/x
  3. Step 3: Cross multiply
    398,866.74x = 597,421.08 × 329,692.86
  4. Step 4: Simplify right side
    398,866.74x = 196,965,464,489.49
  5. Step 5: Solve for x
    x = 196,965,464,489.49/398,866.74
  6. Step 6: Final answer
    x = 493,812.71

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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.