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Finding the Fourth Proportional to 396,421.86, 594,465.12 and 159,700.98

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Solution

The fourth proportional to 396,421.86, 594,465.12 and 159,700.98 is: 239,483.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,421.86 : 594,465.12 = 159,700.98 : x
  2. Step 2: Convert to fraction form
    396,421.86/594,465.12 = 159,700.98/x
  3. Step 3: Cross multiply
    396,421.86x = 594,465.12 × 159,700.98
  4. Step 4: Simplify right side
    396,421.86x = 94,936,662,239.82
  5. Step 5: Solve for x
    x = 94,936,662,239.82/396,421.86
  6. Step 6: Final answer
    x = 239,483.92

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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.