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Finding the Fourth Proportional to 547,283.20, 819,175.20 and 389,819.20

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Solution

The fourth proportional to 547,283.20, 819,175.20 and 389,819.20 is: 583,482.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,283.20 : 819,175.20 = 389,819.20 : x
  2. Step 2: Convert to fraction form
    547,283.20/819,175.20 = 389,819.20/x
  3. Step 3: Cross multiply
    547,283.20x = 819,175.20 × 389,819.20
  4. Step 4: Simplify right side
    547,283.20x = 319,330,221,123.84
  5. Step 5: Solve for x
    x = 319,330,221,123.84/547,283.20
  6. Step 6: Final answer
    x = 583,482.59

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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.