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Finding the Fourth Proportional to 547,302.20, 819,203.70 and 389,838.20

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Solution

The fourth proportional to 547,302.20, 819,203.70 and 389,838.20 is: 583,511.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,302.20 : 819,203.70 = 389,838.20 : x
  2. Step 2: Convert to fraction form
    547,302.20/819,203.70 = 389,838.20/x
  3. Step 3: Cross multiply
    547,302.20x = 819,203.70 × 389,838.20
  4. Step 4: Simplify right side
    547,302.20x = 319,356,895,841.34
  5. Step 5: Solve for x
    x = 319,356,895,841.34/547,302.20
  6. Step 6: Final answer
    x = 583,511.08

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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.