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Finding the Fourth Proportional to 419,433.90, 578,768.67 and 238,080.30

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Solution

The fourth proportional to 419,433.90, 578,768.67 and 238,080.30 is: 328,522.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,433.90 : 578,768.67 = 238,080.30 : x
  2. Step 2: Convert to fraction form
    419,433.90/578,768.67 = 238,080.30/x
  3. Step 3: Cross multiply
    419,433.90x = 578,768.67 × 238,080.30
  4. Step 4: Simplify right side
    419,433.90x = 137,793,418,584.20
  5. Step 5: Solve for x
    x = 137,793,418,584.20/419,433.90
  6. Step 6: Final answer
    x = 328,522.37

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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.