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Finding the Fourth Proportional to 298,452.64, 411,738.96 and 197,675.68

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Solution

The fourth proportional to 298,452.64, 411,738.96 and 197,675.68 is: 272,709.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,452.64 : 411,738.96 = 197,675.68 : x
  2. Step 2: Convert to fraction form
    298,452.64/411,738.96 = 197,675.68/x
  3. Step 3: Cross multiply
    298,452.64x = 411,738.96 × 197,675.68
  4. Step 4: Simplify right side
    298,452.64x = 81,390,778,900.49
  5. Step 5: Solve for x
    x = 81,390,778,900.49/298,452.64
  6. Step 6: Final answer
    x = 272,709.19

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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.