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Finding the Fourth Proportional to 307,074.64, 423,724.80 and 178,012.48

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Solution

The fourth proportional to 307,074.64, 423,724.80 and 178,012.48 is: 245,635.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,074.64 : 423,724.80 = 178,012.48 : x
  2. Step 2: Convert to fraction form
    307,074.64/423,724.80 = 178,012.48/x
  3. Step 3: Cross multiply
    307,074.64x = 423,724.80 × 178,012.48
  4. Step 4: Simplify right side
    307,074.64x = 75,428,302,485.50
  5. Step 5: Solve for x
    x = 75,428,302,485.50/307,074.64
  6. Step 6: Final answer
    x = 245,635.08

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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.