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Finding the Fourth Proportional to 320,854.52, 442,896.04 and 186,718.52

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Solution

The fourth proportional to 320,854.52, 442,896.04 and 186,718.52 is: 257,739.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,854.52 : 442,896.04 = 186,718.52 : x
  2. Step 2: Convert to fraction form
    320,854.52/442,896.04 = 186,718.52/x
  3. Step 3: Cross multiply
    320,854.52x = 442,896.04 × 186,718.52
  4. Step 4: Simplify right side
    320,854.52x = 82,696,893,102.66
  5. Step 5: Solve for x
    x = 82,696,893,102.66/320,854.52
  6. Step 6: Final answer
    x = 257,739.53

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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.