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Finding the Fourth Proportional to 426,684.98, 639,813.18 and 142,274.84

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Solution

The fourth proportional to 426,684.98, 639,813.18 and 142,274.84 is: 213,340.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,684.98 : 639,813.18 = 142,274.84 : x
  2. Step 2: Convert to fraction form
    426,684.98/639,813.18 = 142,274.84/x
  3. Step 3: Cross multiply
    426,684.98x = 639,813.18 × 142,274.84
  4. Step 4: Simplify right side
    426,684.98x = 91,029,317,814.39
  5. Step 5: Solve for x
    x = 91,029,317,814.39/426,684.98
  6. Step 6: Final answer
    x = 213,340.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.