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Finding the Fourth Proportional to 408,428.64, 563,645.52 and 238,659.12

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Solution

The fourth proportional to 408,428.64, 563,645.52 and 238,659.12 is: 329,357.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,428.64 : 563,645.52 = 238,659.12 : x
  2. Step 2: Convert to fraction form
    408,428.64/563,645.52 = 238,659.12/x
  3. Step 3: Cross multiply
    408,428.64x = 563,645.52 × 238,659.12
  4. Step 4: Simplify right side
    408,428.64x = 134,519,143,795.14
  5. Step 5: Solve for x
    x = 134,519,143,795.14/408,428.64
  6. Step 6: Final answer
    x = 329,357.76

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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.