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Finding the Fourth Proportional to 409,489.40, 614,234.10 and 377,996.60

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Solution

The fourth proportional to 409,489.40, 614,234.10 and 377,996.60 is: 566,994.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,489.40 : 614,234.10 = 377,996.60 : x
  2. Step 2: Convert to fraction form
    409,489.40/614,234.10 = 377,996.60/x
  3. Step 3: Cross multiply
    409,489.40x = 614,234.10 × 377,996.60
  4. Step 4: Simplify right side
    409,489.40x = 232,178,401,404.06
  5. Step 5: Solve for x
    x = 232,178,401,404.06/409,489.40
  6. Step 6: Final answer
    x = 566,994.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.