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Finding the Fourth Proportional to 285,595.82, 394,161.59 and 164,734.46

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Solution

The fourth proportional to 285,595.82, 394,161.59 and 164,734.46 is: 227,356.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,595.82 : 394,161.59 = 164,734.46 : x
  2. Step 2: Convert to fraction form
    285,595.82/394,161.59 = 164,734.46/x
  3. Step 3: Cross multiply
    285,595.82x = 394,161.59 × 164,734.46
  4. Step 4: Simplify right side
    285,595.82x = 64,931,996,600.53
  5. Step 5: Solve for x
    x = 64,931,996,600.53/285,595.82
  6. Step 6: Final answer
    x = 227,356.25

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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.