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Finding the Fourth Proportional to 307,191.64, 423,917.16 and 178,153.16

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Solution

The fourth proportional to 307,191.64, 423,917.16 and 178,153.16 is: 245,847.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,191.64 : 423,917.16 = 178,153.16 : x
  2. Step 2: Convert to fraction form
    307,191.64/423,917.16 = 178,153.16/x
  3. Step 3: Cross multiply
    307,191.64x = 423,917.16 × 178,153.16
  4. Step 4: Simplify right side
    307,191.64x = 75,522,181,632.23
  5. Step 5: Solve for x
    x = 75,522,181,632.23/307,191.64
  6. Step 6: Final answer
    x = 245,847.13

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1.5x scale

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.