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Finding the Fourth Proportional to 285,920.84, 394,564.74 and 158,595.32

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Solution

The fourth proportional to 285,920.84, 394,564.74 and 158,595.32 is: 218,858.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,920.84 : 394,564.74 = 158,595.32 : x
  2. Step 2: Convert to fraction form
    285,920.84/394,564.74 = 158,595.32/x
  3. Step 3: Cross multiply
    285,920.84x = 394,564.74 × 158,595.32
  4. Step 4: Simplify right side
    285,920.84x = 62,576,121,592.70
  5. Step 5: Solve for x
    x = 62,576,121,592.70/285,920.84
  6. Step 6: Final answer
    x = 218,858.20

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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.