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Finding the Fourth Proportional to 519,109.52, 778,290.44 and 319,016.56

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Solution

The fourth proportional to 519,109.52, 778,290.44 and 319,016.56 is: 478,295.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,109.52 : 778,290.44 = 319,016.56 : x
  2. Step 2: Convert to fraction form
    519,109.52/778,290.44 = 319,016.56/x
  3. Step 3: Cross multiply
    519,109.52x = 778,290.44 × 319,016.56
  4. Step 4: Simplify right side
    519,109.52x = 248,287,538,849.69
  5. Step 5: Solve for x
    x = 248,287,538,849.69/519,109.52
  6. Step 6: Final answer
    x = 478,295.10

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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.