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Finding the Fourth Proportional to 519,108.60, 778,288.95 and 319,015.38

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Solution

The fourth proportional to 519,108.60, 778,288.95 and 319,015.38 is: 478,293.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,108.60 : 778,288.95 = 319,015.38 : x
  2. Step 2: Convert to fraction form
    519,108.60/778,288.95 = 319,015.38/x
  3. Step 3: Cross multiply
    519,108.60x = 778,288.95 × 319,015.38
  4. Step 4: Simplify right side
    519,108.60x = 248,286,145,134.05
  5. Step 5: Solve for x
    x = 248,286,145,134.05/519,108.60
  6. Step 6: Final answer
    x = 478,293.26

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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.