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Finding the Fourth Proportional to 320,859.52, 442,902.94 and 186,723.52

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Solution

The fourth proportional to 320,859.52, 442,902.94 and 186,723.52 is: 257,746.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,859.52 : 442,902.94 = 186,723.52 : x
  2. Step 2: Convert to fraction form
    320,859.52/442,902.94 = 186,723.52/x
  3. Step 3: Cross multiply
    320,859.52x = 442,902.94 × 186,723.52
  4. Step 4: Simplify right side
    320,859.52x = 82,700,395,975.15
  5. Step 5: Solve for x
    x = 82,700,395,975.15/320,859.52
  6. Step 6: Final answer
    x = 257,746.43

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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.