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Finding the Fourth Proportional to 492,749.10, 739,123.65 and 445,509.90

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Solution

The fourth proportional to 492,749.10, 739,123.65 and 445,509.90 is: 668,264.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,749.10 : 739,123.65 = 445,509.90 : x
  2. Step 2: Convert to fraction form
    492,749.10/739,123.65 = 445,509.90/x
  3. Step 3: Cross multiply
    492,749.10x = 739,123.65 × 445,509.90
  4. Step 4: Simplify right side
    492,749.10x = 329,286,903,399.14
  5. Step 5: Solve for x
    x = 329,286,903,399.14/492,749.10
  6. Step 6: Final answer
    x = 668,264.85

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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.