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Finding the Fourth Proportional to 290,438.53, 400,803.83 and 161,398.00

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Solution

The fourth proportional to 290,438.53, 400,803.83 and 161,398.00 is: 222,728.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,438.53 : 400,803.83 = 161,398.00 : x
  2. Step 2: Convert to fraction form
    290,438.53/400,803.83 = 161,398.00/x
  3. Step 3: Cross multiply
    290,438.53x = 400,803.83 × 161,398.00
  4. Step 4: Simplify right side
    290,438.53x = 64,688,936,853.60
  5. Step 5: Solve for x
    x = 64,688,936,853.60/290,438.53
  6. Step 6: Final answer
    x = 222,728.50

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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.