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Finding the Fourth Proportional to 295,565.63, 407,890.31 and 161,429.63

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Solution

The fourth proportional to 295,565.63, 407,890.31 and 161,429.63 is: 222,778.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,565.63 : 407,890.31 = 161,429.63 : x
  2. Step 2: Convert to fraction form
    295,565.63/407,890.31 = 161,429.63/x
  3. Step 3: Cross multiply
    295,565.63x = 407,890.31 × 161,429.63
  4. Step 4: Simplify right side
    295,565.63x = 65,845,578,977.29
  5. Step 5: Solve for x
    x = 65,845,578,977.29/295,565.63
  6. Step 6: Final answer
    x = 222,778.20

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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.