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Finding the Fourth Proportional to 321,009.72, 442,992.54 and 185,042.91

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Solution

The fourth proportional to 321,009.72, 442,992.54 and 185,042.91 is: 255,358.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,009.72 : 442,992.54 = 185,042.91 : x
  2. Step 2: Convert to fraction form
    321,009.72/442,992.54 = 185,042.91/x
  3. Step 3: Cross multiply
    321,009.72x = 442,992.54 × 185,042.91
  4. Step 4: Simplify right side
    321,009.72x = 81,972,631,065.02
  5. Step 5: Solve for x
    x = 81,972,631,065.02/321,009.72
  6. Step 6: Final answer
    x = 255,358.72

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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.