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Finding the Fourth Proportional to 363,970, 502,219.50 and 210,978.34

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Solution

The fourth proportional to 363,970, 502,219.50 and 210,978.34 is: 291,115.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,970 : 502,219.50 = 210,978.34 : x
  2. Step 2: Convert to fraction form
    363,970/502,219.50 = 210,978.34/x
  3. Step 3: Cross multiply
    363,970x = 502,219.50 × 210,978.34
  4. Step 4: Simplify right side
    363,970x = 105,957,436,425.63
  5. Step 5: Solve for x
    x = 105,957,436,425.63/363,970
  6. Step 6: Final answer
    x = 291,115.85

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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.