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Finding the Fourth Proportional to 389,578.80, 584,477.55 and 189,905.70

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Solution

The fourth proportional to 389,578.80, 584,477.55 and 189,905.70 is: 284,911.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,578.80 : 584,477.55 = 189,905.70 : x
  2. Step 2: Convert to fraction form
    389,578.80/584,477.55 = 189,905.70/x
  3. Step 3: Cross multiply
    389,578.80x = 584,477.55 × 189,905.70
  4. Step 4: Simplify right side
    389,578.80x = 110,995,618,267.04
  5. Step 5: Solve for x
    x = 110,995,618,267.04/389,578.80
  6. Step 6: Final answer
    x = 284,911.85

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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.