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Finding the Fourth Proportional to 519,321.60, 778,924.80 and 145,382.40

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Solution

The fourth proportional to 519,321.60, 778,924.80 and 145,382.40 is: 218,057.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,321.60 : 778,924.80 = 145,382.40 : x
  2. Step 2: Convert to fraction form
    519,321.60/778,924.80 = 145,382.40/x
  3. Step 3: Cross multiply
    519,321.60x = 778,924.80 × 145,382.40
  4. Step 4: Simplify right side
    519,321.60x = 113,241,956,843.52
  5. Step 5: Solve for x
    x = 113,241,956,843.52/519,321.60
  6. Step 6: Final answer
    x = 218,057.48

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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.