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Finding the Fourth Proportional to 396,057.80, 594,669.90 and 307,411.40

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Solution

The fourth proportional to 396,057.80, 594,669.90 and 307,411.40 is: 461,569.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,057.80 : 594,669.90 = 307,411.40 : x
  2. Step 2: Convert to fraction form
    396,057.80/594,669.90 = 307,411.40/x
  3. Step 3: Cross multiply
    396,057.80x = 594,669.90 × 307,411.40
  4. Step 4: Simplify right side
    396,057.80x = 182,808,306,496.86
  5. Step 5: Solve for x
    x = 182,808,306,496.86/396,057.80
  6. Step 6: Final answer
    x = 461,569.77

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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.