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Finding the Fourth Proportional to 367,409.39, 551,148.94 and 142,787.18

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Solution

The fourth proportional to 367,409.39, 551,148.94 and 142,787.18 is: 214,194.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,409.39 : 551,148.94 = 142,787.18 : x
  2. Step 2: Convert to fraction form
    367,409.39/551,148.94 = 142,787.18/x
  3. Step 3: Cross multiply
    367,409.39x = 551,148.94 × 142,787.18
  4. Step 4: Simplify right side
    367,409.39x = 78,697,002,902.59
  5. Step 5: Solve for x
    x = 78,697,002,902.59/367,409.39
  6. Step 6: Final answer
    x = 214,194.32

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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.