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Finding the Fourth Proportional to 282,896.56, 390,286.76 and 161,973.22

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Solution

The fourth proportional to 282,896.56, 390,286.76 and 161,973.22 is: 223,459.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,896.56 : 390,286.76 = 161,973.22 : x
  2. Step 2: Convert to fraction form
    282,896.56/390,286.76 = 161,973.22/x
  3. Step 3: Cross multiply
    282,896.56x = 390,286.76 × 161,973.22
  4. Step 4: Simplify right side
    282,896.56x = 63,216,003,240.57
  5. Step 5: Solve for x
    x = 63,216,003,240.57/282,896.56
  6. Step 6: Final answer
    x = 223,459.78

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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.