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Finding the Fourth Proportional to 295,281.72, 407,488.66 and 161,145.72

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Solution

The fourth proportional to 295,281.72, 407,488.66 and 161,145.72 is: 222,381.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,281.72 : 407,488.66 = 161,145.72 : x
  2. Step 2: Convert to fraction form
    295,281.72/407,488.66 = 161,145.72/x
  3. Step 3: Cross multiply
    295,281.72x = 407,488.66 × 161,145.72
  4. Step 4: Simplify right side
    295,281.72x = 65,665,053,507.54
  5. Step 5: Solve for x
    x = 65,665,053,507.54/295,281.72
  6. Step 6: Final answer
    x = 222,381.03

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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.