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Finding the Fourth Proportional to 348,231.44, 480,310.56 and 319,641.92

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Solution

The fourth proportional to 348,231.44, 480,310.56 and 319,641.92 is: 440,877.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,231.44 : 480,310.56 = 319,641.92 : x
  2. Step 2: Convert to fraction form
    348,231.44/480,310.56 = 319,641.92/x
  3. Step 3: Cross multiply
    348,231.44x = 480,310.56 × 319,641.92
  4. Step 4: Simplify right side
    348,231.44x = 153,527,389,594.68
  5. Step 5: Solve for x
    x = 153,527,389,594.68/348,231.44
  6. Step 6: Final answer
    x = 440,877.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.