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Finding the Fourth Proportional to 293,783.61, 439,991.94 and 285,702.33

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Solution

The fourth proportional to 293,783.61, 439,991.94 and 285,702.33 is: 427,888.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,783.61 : 439,991.94 = 285,702.33 : x
  2. Step 2: Convert to fraction form
    293,783.61/439,991.94 = 285,702.33/x
  3. Step 3: Cross multiply
    293,783.61x = 439,991.94 × 285,702.33
  4. Step 4: Simplify right side
    293,783.61x = 125,706,722,439.22
  5. Step 5: Solve for x
    x = 125,706,722,439.22/293,783.61
  6. Step 6: Final answer
    x = 427,888.82

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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.