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Finding the Fourth Proportional to 290,557.56, 434,898.88 and 150,123

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Solution

The fourth proportional to 290,557.56, 434,898.88 and 150,123 is: 224,700.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,557.56 : 434,898.88 = 150,123 : x
  2. Step 2: Convert to fraction form
    290,557.56/434,898.88 = 150,123/x
  3. Step 3: Cross multiply
    290,557.56x = 434,898.88 × 150,123
  4. Step 4: Simplify right side
    290,557.56x = 65,288,324,562.24
  5. Step 5: Solve for x
    x = 65,288,324,562.24/290,557.56
  6. Step 6: Final answer
    x = 224,700.14

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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.