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Finding the Fourth Proportional to 298,431.34, 411,821.82 and 162,461.80

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Solution

The fourth proportional to 298,431.34, 411,821.82 and 162,461.80 is: 224,189.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,431.34 : 411,821.82 = 162,461.80 : x
  2. Step 2: Convert to fraction form
    298,431.34/411,821.82 = 162,461.80/x
  3. Step 3: Cross multiply
    298,431.34x = 411,821.82 × 162,461.80
  4. Step 4: Simplify right side
    298,431.34x = 66,905,314,671.25
  5. Step 5: Solve for x
    x = 66,905,314,671.25/298,431.34
  6. Step 6: Final answer
    x = 224,189.98

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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.