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Finding the Fourth Proportional to 450,178.56, 674,518.19 and 316,778.55

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Solution

The fourth proportional to 450,178.56, 674,518.19 and 316,778.55 is: 474,640.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,178.56 : 674,518.19 = 316,778.55 : x
  2. Step 2: Convert to fraction form
    450,178.56/674,518.19 = 316,778.55/x
  3. Step 3: Cross multiply
    450,178.56x = 674,518.19 × 316,778.55
  4. Step 4: Simplify right side
    450,178.56x = 213,672,890,063.49
  5. Step 5: Solve for x
    x = 213,672,890,063.49/450,178.56
  6. Step 6: Final answer
    x = 474,640.31

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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.