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Finding the Fourth Proportional to 419,532.51, 578,958.84 and 238,248.21

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Solution

The fourth proportional to 419,532.51, 578,958.84 and 238,248.21 is: 328,784.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,532.51 : 578,958.84 = 238,248.21 : x
  2. Step 2: Convert to fraction form
    419,532.51/578,958.84 = 238,248.21/x
  3. Step 3: Cross multiply
    419,532.51x = 578,958.84 × 238,248.21
  4. Step 4: Simplify right side
    419,532.51x = 137,935,907,293.68
  5. Step 5: Solve for x
    x = 137,935,907,293.68/419,532.51
  6. Step 6: Final answer
    x = 328,784.79

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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.