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Finding the Fourth Proportional to 409,409.70, 614,748.15 and 222,785.70

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Solution

The fourth proportional to 409,409.70, 614,748.15 and 222,785.70 is: 334,523.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,409.70 : 614,748.15 = 222,785.70 : x
  2. Step 2: Convert to fraction form
    409,409.70/614,748.15 = 222,785.70/x
  3. Step 3: Cross multiply
    409,409.70x = 614,748.15 × 222,785.70
  4. Step 4: Simplify right side
    409,409.70x = 136,957,096,921.46
  5. Step 5: Solve for x
    x = 136,957,096,921.46/409,409.70
  6. Step 6: Final answer
    x = 334,523.33

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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.