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Finding the Fourth Proportional to 519,278.34, 778,999.52 and 219,760.49

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Solution

The fourth proportional to 519,278.34, 778,999.52 and 219,760.49 is: 329,675.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,278.34 : 778,999.52 = 219,760.49 : x
  2. Step 2: Convert to fraction form
    519,278.34/778,999.52 = 219,760.49/x
  3. Step 3: Cross multiply
    519,278.34x = 778,999.52 × 219,760.49
  4. Step 4: Simplify right side
    519,278.34x = 171,193,316,774.37
  5. Step 5: Solve for x
    x = 171,193,316,774.37/519,278.34
  6. Step 6: Final answer
    x = 329,675.44

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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.