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Finding the Fourth Proportional to 409,814.80, 614,722.20 and 283,843.60

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Solution

The fourth proportional to 409,814.80, 614,722.20 and 283,843.60 is: 425,765.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,814.80 : 614,722.20 = 283,843.60 : x
  2. Step 2: Convert to fraction form
    409,814.80/614,722.20 = 283,843.60/x
  3. Step 3: Cross multiply
    409,814.80x = 614,722.20 × 283,843.60
  4. Step 4: Simplify right side
    409,814.80x = 174,484,962,247.92
  5. Step 5: Solve for x
    x = 174,484,962,247.92/409,814.80
  6. Step 6: Final answer
    x = 425,765.40

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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.