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Finding the Fourth Proportional to 320,856, 442,897.92 and 186,720

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Solution

The fourth proportional to 320,856, 442,897.92 and 186,720 is: 257,741.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,856 : 442,897.92 = 186,720 : x
  2. Step 2: Convert to fraction form
    320,856/442,897.92 = 186,720/x
  3. Step 3: Cross multiply
    320,856x = 442,897.92 × 186,720
  4. Step 4: Simplify right side
    320,856x = 82,697,899,622.40
  5. Step 5: Solve for x
    x = 82,697,899,622.40/320,856
  6. Step 6: Final answer
    x = 257,741.48

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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.