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Finding the Fourth Proportional to 439,218, 606,120.84 and 238,014

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Solution

The fourth proportional to 439,218, 606,120.84 and 238,014 is: 328,459.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,218 : 606,120.84 = 238,014 : x
  2. Step 2: Convert to fraction form
    439,218/606,120.84 = 238,014/x
  3. Step 3: Cross multiply
    439,218x = 606,120.84 × 238,014
  4. Step 4: Simplify right side
    439,218x = 144,265,245,611.76
  5. Step 5: Solve for x
    x = 144,265,245,611.76/439,218
  6. Step 6: Final answer
    x = 328,459.32

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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.