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Finding the Fourth Proportional to 298,408.62, 411,803.93 and 162,443.58

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Solution

The fourth proportional to 298,408.62, 411,803.93 and 162,443.58 is: 224,172.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,408.62 : 411,803.93 = 162,443.58 : x
  2. Step 2: Convert to fraction form
    298,408.62/411,803.93 = 162,443.58/x
  3. Step 3: Cross multiply
    298,408.62x = 411,803.93 × 162,443.58
  4. Step 4: Simplify right side
    298,408.62x = 66,894,903,509.11
  5. Step 5: Solve for x
    x = 66,894,903,509.11/298,408.62
  6. Step 6: Final answer
    x = 224,172.15

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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.