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Finding the Fourth Proportional to 547,006.38, 819,483.04 and 209,818.15

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Solution

The fourth proportional to 547,006.38, 819,483.04 and 209,818.15 is: 314,333.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,006.38 : 819,483.04 = 209,818.15 : x
  2. Step 2: Convert to fraction form
    547,006.38/819,483.04 = 209,818.15/x
  3. Step 3: Cross multiply
    547,006.38x = 819,483.04 × 209,818.15
  4. Step 4: Simplify right side
    547,006.38x = 171,942,413,622.74
  5. Step 5: Solve for x
    x = 171,942,413,622.74/547,006.38
  6. Step 6: Final answer
    x = 314,333.47

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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.