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Finding the Fourth Proportional to 298,484.88, 411,895.35 and 162,518.42

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Solution

The fourth proportional to 298,484.88, 411,895.35 and 162,518.42 is: 224,267.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,484.88 : 411,895.35 = 162,518.42 : x
  2. Step 2: Convert to fraction form
    298,484.88/411,895.35 = 162,518.42/x
  3. Step 3: Cross multiply
    298,484.88x = 411,895.35 × 162,518.42
  4. Step 4: Simplify right side
    298,484.88x = 66,940,579,427.87
  5. Step 5: Solve for x
    x = 66,940,579,427.87/298,484.88
  6. Step 6: Final answer
    x = 224,267.91

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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.