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Finding the Fourth Proportional to 298,670.42, 412,165 and 164,534.42

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Solution

The fourth proportional to 298,670.42, 412,165 and 164,534.42 is: 227,057.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,670.42 : 412,165 = 164,534.42 : x
  2. Step 2: Convert to fraction form
    298,670.42/412,165 = 164,534.42/x
  3. Step 3: Cross multiply
    298,670.42x = 412,165 × 164,534.42
  4. Step 4: Simplify right side
    298,670.42x = 67,815,329,219.30
  5. Step 5: Solve for x
    x = 67,815,329,219.30/298,670.42
  6. Step 6: Final answer
    x = 227,057.40

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1.5x scale

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.