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Finding the Fourth Proportional to 305,327.25, 421,351.79 and 186,095.25

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Solution

The fourth proportional to 305,327.25, 421,351.79 and 186,095.25 is: 256,811.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,327.25 : 421,351.79 = 186,095.25 : x
  2. Step 2: Convert to fraction form
    305,327.25/421,351.79 = 186,095.25/x
  3. Step 3: Cross multiply
    305,327.25x = 421,351.79 × 186,095.25
  4. Step 4: Simplify right side
    305,327.25x = 78,411,565,767.52
  5. Step 5: Solve for x
    x = 78,411,565,767.52/305,327.25
  6. Step 6: Final answer
    x = 256,811.55

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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.