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Finding the Fourth Proportional to 384,278.90, 576,769.91 and 194,870

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Solution

The fourth proportional to 384,278.90, 576,769.91 and 194,870 is: 292,483.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,278.90 : 576,769.91 = 194,870 : x
  2. Step 2: Convert to fraction form
    384,278.90/576,769.91 = 194,870/x
  3. Step 3: Cross multiply
    384,278.90x = 576,769.91 × 194,870
  4. Step 4: Simplify right side
    384,278.90x = 112,395,152,361.70
  5. Step 5: Solve for x
    x = 112,395,152,361.70/384,278.90
  6. Step 6: Final answer
    x = 292,483.28

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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.