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Finding the Fourth Proportional to 290,258.46, 400,569.98 and 161,197.50

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Solution

The fourth proportional to 290,258.46, 400,569.98 and 161,197.50 is: 222,459.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,258.46 : 400,569.98 = 161,197.50 : x
  2. Step 2: Convert to fraction form
    290,258.46/400,569.98 = 161,197.50/x
  3. Step 3: Cross multiply
    290,258.46x = 400,569.98 × 161,197.50
  4. Step 4: Simplify right side
    290,258.46x = 64,570,880,047.20
  5. Step 5: Solve for x
    x = 64,570,880,047.20/290,258.46
  6. Step 6: Final answer
    x = 222,459.94

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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.