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Finding the Fourth Proportional to 297,094.47, 409,990.59 and 161,128.38

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Solution

The fourth proportional to 297,094.47, 409,990.59 and 161,128.38 is: 222,357.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,094.47 : 409,990.59 = 161,128.38 : x
  2. Step 2: Convert to fraction form
    297,094.47/409,990.59 = 161,128.38/x
  3. Step 3: Cross multiply
    297,094.47x = 409,990.59 × 161,128.38
  4. Step 4: Simplify right side
    297,094.47x = 66,061,119,581.94
  5. Step 5: Solve for x
    x = 66,061,119,581.94/297,094.47
  6. Step 6: Final answer
    x = 222,357.28

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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.