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Finding the Fourth Proportional to 282,073.32, 389,295.64 and 161,219.70

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Solution

The fourth proportional to 282,073.32, 389,295.64 and 161,219.70 is: 222,502.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,073.32 : 389,295.64 = 161,219.70 : x
  2. Step 2: Convert to fraction form
    282,073.32/389,295.64 = 161,219.70/x
  3. Step 3: Cross multiply
    282,073.32x = 389,295.64 × 161,219.70
  4. Step 4: Simplify right side
    282,073.32x = 62,762,126,292.11
  5. Step 5: Solve for x
    x = 62,762,126,292.11/282,073.32
  6. Step 6: Final answer
    x = 222,502.88

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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.