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Finding the Fourth Proportional to 295,428.06, 407,689.11 and 161,291.10

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Solution

The fourth proportional to 295,428.06, 407,689.11 and 161,291.10 is: 222,580.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,428.06 : 407,689.11 = 161,291.10 : x
  2. Step 2: Convert to fraction form
    295,428.06/407,689.11 = 161,291.10/x
  3. Step 3: Cross multiply
    295,428.06x = 407,689.11 × 161,291.10
  4. Step 4: Simplify right side
    295,428.06x = 65,756,625,009.92
  5. Step 5: Solve for x
    x = 65,756,625,009.92/295,428.06
  6. Step 6: Final answer
    x = 222,580.84

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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.