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Finding the Fourth Proportional to 407,748.40, 611,622.60 and 256,189.30

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Solution

The fourth proportional to 407,748.40, 611,622.60 and 256,189.30 is: 384,283.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,748.40 : 611,622.60 = 256,189.30 : x
  2. Step 2: Convert to fraction form
    407,748.40/611,622.60 = 256,189.30/x
  3. Step 3: Cross multiply
    407,748.40x = 611,622.60 × 256,189.30
  4. Step 4: Simplify right side
    407,748.40x = 156,691,165,758.18
  5. Step 5: Solve for x
    x = 156,691,165,758.18/407,748.40
  6. Step 6: Final answer
    x = 384,283.95

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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.