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Finding the Fourth Proportional to 437,713.56, 656,307.90 and 212,630.76

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Solution

The fourth proportional to 437,713.56, 656,307.90 and 212,630.76 is: 318,818.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,713.56 : 656,307.90 = 212,630.76 : x
  2. Step 2: Convert to fraction form
    437,713.56/656,307.90 = 212,630.76/x
  3. Step 3: Cross multiply
    437,713.56x = 656,307.90 × 212,630.76
  4. Step 4: Simplify right side
    437,713.56x = 139,551,247,571.00
  5. Step 5: Solve for x
    x = 139,551,247,571.00/437,713.56
  6. Step 6: Final answer
    x = 318,818.65

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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.