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Finding the Fourth Proportional to 320,682.84, 442,512.18 and 217,106.34

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Solution

The fourth proportional to 320,682.84, 442,512.18 and 217,106.34 is: 299,586.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,682.84 : 442,512.18 = 217,106.34 : x
  2. Step 2: Convert to fraction form
    320,682.84/442,512.18 = 217,106.34/x
  3. Step 3: Cross multiply
    320,682.84x = 442,512.18 × 217,106.34
  4. Step 4: Simplify right side
    320,682.84x = 96,072,199,390.37
  5. Step 5: Solve for x
    x = 96,072,199,390.37/320,682.84
  6. Step 6: Final answer
    x = 299,586.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.