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Finding the Fourth Proportional to 290,395.90, 400,766.25 and 161,349.94

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Solution

The fourth proportional to 290,395.90, 400,766.25 and 161,349.94 is: 222,673.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,395.90 : 400,766.25 = 161,349.94 : x
  2. Step 2: Convert to fraction form
    290,395.90/400,766.25 = 161,349.94/x
  3. Step 3: Cross multiply
    290,395.90x = 400,766.25 × 161,349.94
  4. Step 4: Simplify right side
    290,395.90x = 64,663,610,391.53
  5. Step 5: Solve for x
    x = 64,663,610,391.53/290,395.90
  6. Step 6: Final answer
    x = 222,673.98

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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.