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Finding the Fourth Proportional to 419,304.96, 578,496.96 and 238,003.20

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Solution

The fourth proportional to 419,304.96, 578,496.96 and 238,003.20 is: 328,362.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,304.96 : 578,496.96 = 238,003.20 : x
  2. Step 2: Convert to fraction form
    419,304.96/578,496.96 = 238,003.20/x
  3. Step 3: Cross multiply
    419,304.96x = 578,496.96 × 238,003.20
  4. Step 4: Simplify right side
    419,304.96x = 137,684,127,670.27
  5. Step 5: Solve for x
    x = 137,684,127,670.27/419,304.96
  6. Step 6: Final answer
    x = 328,362.75

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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.