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Finding the Fourth Proportional to 285,804.52, 394,415.66 and 156,734.82

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Solution

The fourth proportional to 285,804.52, 394,415.66 and 156,734.82 is: 216,297.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,804.52 : 394,415.66 = 156,734.82 : x
  2. Step 2: Convert to fraction form
    285,804.52/394,415.66 = 156,734.82/x
  3. Step 3: Cross multiply
    285,804.52x = 394,415.66 × 156,734.82
  4. Step 4: Simplify right side
    285,804.52x = 61,818,665,503.20
  5. Step 5: Solve for x
    x = 61,818,665,503.20/285,804.52
  6. Step 6: Final answer
    x = 216,297.02

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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.