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Finding the Fourth Proportional to 384,193.20, 538,657.80 and 384,193.20

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Solution

The fourth proportional to 384,193.20, 538,657.80 and 384,193.20 is: 538,657.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,193.20 : 538,657.80 = 384,193.20 : x
  2. Step 2: Convert to fraction form
    384,193.20/538,657.80 = 384,193.20/x
  3. Step 3: Cross multiply
    384,193.20x = 538,657.80 × 384,193.20
  4. Step 4: Simplify right side
    384,193.20x = 206,948,663,886.96
  5. Step 5: Solve for x
    x = 206,948,663,886.96/384,193.20
  6. Step 6: Final answer
    x = 538,657.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.