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Finding the Fourth Proportional to 519,218.75, 778,828.13 and 145,241.75

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Solution

The fourth proportional to 519,218.75, 778,828.13 and 145,241.75 is: 217,862.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,218.75 : 778,828.13 = 145,241.75 : x
  2. Step 2: Convert to fraction form
    519,218.75/778,828.13 = 145,241.75/x
  3. Step 3: Cross multiply
    519,218.75x = 778,828.13 × 145,241.75
  4. Step 4: Simplify right side
    519,218.75x = 113,118,360,550.43
  5. Step 5: Solve for x
    x = 113,118,360,550.43/519,218.75
  6. Step 6: Final answer
    x = 217,862.63

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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.