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Finding the Fourth Proportional to 297,419.68, 410,430 and 161,447.20

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Solution

The fourth proportional to 297,419.68, 410,430 and 161,447.20 is: 222,792.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,419.68 : 410,430 = 161,447.20 : x
  2. Step 2: Convert to fraction form
    297,419.68/410,430 = 161,447.20/x
  3. Step 3: Cross multiply
    297,419.68x = 410,430 × 161,447.20
  4. Step 4: Simplify right side
    297,419.68x = 66,262,774,296.00
  5. Step 5: Solve for x
    x = 66,262,774,296.00/297,419.68
  6. Step 6: Final answer
    x = 222,792.16

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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.