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Finding the Fourth Proportional to 295,430.28, 407,688.57 and 168,103.14

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Solution

The fourth proportional to 295,430.28, 407,688.57 and 168,103.14 is: 231,979.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,430.28 : 407,688.57 = 168,103.14 : x
  2. Step 2: Convert to fraction form
    295,430.28/407,688.57 = 168,103.14/x
  3. Step 3: Cross multiply
    295,430.28x = 407,688.57 × 168,103.14
  4. Step 4: Simplify right side
    295,430.28x = 68,533,728,759.11
  5. Step 5: Solve for x
    x = 68,533,728,759.11/295,430.28
  6. Step 6: Final answer
    x = 231,979.37

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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.