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Finding the Fourth Proportional to 529,137.50, 729,514.90 and 381,838.74

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Solution

The fourth proportional to 529,137.50, 729,514.90 and 381,838.74 is: 526,436.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,137.50 : 729,514.90 = 381,838.74 : x
  2. Step 2: Convert to fraction form
    529,137.50/729,514.90 = 381,838.74/x
  3. Step 3: Cross multiply
    529,137.50x = 729,514.90 × 381,838.74
  4. Step 4: Simplify right side
    529,137.50x = 278,557,050,227.23
  5. Step 5: Solve for x
    x = 278,557,050,227.23/529,137.50
  6. Step 6: Final answer
    x = 526,436.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.