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Finding the Fourth Proportional to 297,477.90, 410,517.10 and 161,509.15

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Solution

The fourth proportional to 297,477.90, 410,517.10 and 161,509.15 is: 222,881.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,477.90 : 410,517.10 = 161,509.15 : x
  2. Step 2: Convert to fraction form
    297,477.90/410,517.10 = 161,509.15/x
  3. Step 3: Cross multiply
    297,477.90x = 410,517.10 × 161,509.15
  4. Step 4: Simplify right side
    297,477.90x = 66,302,268,946.67
  5. Step 5: Solve for x
    x = 66,302,268,946.67/297,477.90
  6. Step 6: Final answer
    x = 222,881.32

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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.