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Finding the Fourth Proportional to 519,107.52, 778,287.44 and 319,014.56

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Solution

The fourth proportional to 519,107.52, 778,287.44 and 319,014.56 is: 478,292.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,107.52 : 778,287.44 = 319,014.56 : x
  2. Step 2: Convert to fraction form
    519,107.52/778,287.44 = 319,014.56/x
  3. Step 3: Cross multiply
    519,107.52x = 778,287.44 × 319,014.56
  4. Step 4: Simplify right side
    519,107.52x = 248,285,025,225.13
  5. Step 5: Solve for x
    x = 248,285,025,225.13/519,107.52
  6. Step 6: Final answer
    x = 478,292.10

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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.