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Finding the Fourth Proportional to 282,035.76, 389,205.72 and 161,175.66

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Solution

The fourth proportional to 282,035.76, 389,205.72 and 161,175.66 is: 222,420.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,035.76 : 389,205.72 = 161,175.66 : x
  2. Step 2: Convert to fraction form
    282,035.76/389,205.72 = 161,175.66/x
  3. Step 3: Cross multiply
    282,035.76x = 389,205.72 × 161,175.66
  4. Step 4: Simplify right side
    282,035.76x = 62,730,488,796.78
  5. Step 5: Solve for x
    x = 62,730,488,796.78/282,035.76
  6. Step 6: Final answer
    x = 222,420.34

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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.