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Finding the Fourth Proportional to 409,748.40, 614,622.60 and 252,065.70

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Solution

The fourth proportional to 409,748.40, 614,622.60 and 252,065.70 is: 378,098.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,748.40 : 614,622.60 = 252,065.70 : x
  2. Step 2: Convert to fraction form
    409,748.40/614,622.60 = 252,065.70/x
  3. Step 3: Cross multiply
    409,748.40x = 614,622.60 × 252,065.70
  4. Step 4: Simplify right side
    409,748.40x = 154,925,275,904.82
  5. Step 5: Solve for x
    x = 154,925,275,904.82/409,748.40
  6. Step 6: Final answer
    x = 378,098.55

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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.