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Finding the Fourth Proportional to 295,428.78, 407,686.50 and 168,101.64

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Solution

The fourth proportional to 295,428.78, 407,686.50 and 168,101.64 is: 231,977.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,428.78 : 407,686.50 = 168,101.64 : x
  2. Step 2: Convert to fraction form
    295,428.78/407,686.50 = 168,101.64/x
  3. Step 3: Cross multiply
    295,428.78x = 407,686.50 × 168,101.64
  4. Step 4: Simplify right side
    295,428.78x = 68,532,769,255.86
  5. Step 5: Solve for x
    x = 68,532,769,255.86/295,428.78
  6. Step 6: Final answer
    x = 231,977.30

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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.