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Finding the Fourth Proportional to 320,893.98, 442,832.10 and 173,718.42

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Solution

The fourth proportional to 320,893.98, 442,832.10 and 173,718.42 is: 239,730.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,893.98 : 442,832.10 = 173,718.42 : x
  2. Step 2: Convert to fraction form
    320,893.98/442,832.10 = 173,718.42/x
  3. Step 3: Cross multiply
    320,893.98x = 442,832.10 × 173,718.42
  4. Step 4: Simplify right side
    320,893.98x = 76,928,092,737.28
  5. Step 5: Solve for x
    x = 76,928,092,737.28/320,893.98
  6. Step 6: Final answer
    x = 239,730.56

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1.5x scale

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.