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Finding the Fourth Proportional to 547,315.20, 819,223.20 and 389,851.20

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Solution

The fourth proportional to 547,315.20, 819,223.20 and 389,851.20 is: 583,530.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,315.20 : 819,223.20 = 389,851.20 : x
  2. Step 2: Convert to fraction form
    547,315.20/819,223.20 = 389,851.20/x
  3. Step 3: Cross multiply
    547,315.20x = 819,223.20 × 389,851.20
  4. Step 4: Simplify right side
    547,315.20x = 319,375,147,587.84
  5. Step 5: Solve for x
    x = 319,375,147,587.84/547,315.20
  6. Step 6: Final answer
    x = 583,530.56

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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.