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Finding the Fourth Proportional to 295,429.78, 407,687.88 and 168,102.64

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Solution

The fourth proportional to 295,429.78, 407,687.88 and 168,102.64 is: 231,978.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,429.78 : 407,687.88 = 168,102.64 : x
  2. Step 2: Convert to fraction form
    295,429.78/407,687.88 = 168,102.64/x
  3. Step 3: Cross multiply
    295,429.78x = 407,687.88 × 168,102.64
  4. Step 4: Simplify right side
    295,429.78x = 68,533,408,924.00
  5. Step 5: Solve for x
    x = 68,533,408,924.00/295,429.78
  6. Step 6: Final answer
    x = 231,978.68

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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.