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Finding the Fourth Proportional to 492,704.55, 739,078.70 and 193,158.45

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Solution

The fourth proportional to 492,704.55, 739,078.70 and 193,158.45 is: 289,746.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,704.55 : 739,078.70 = 193,158.45 : x
  2. Step 2: Convert to fraction form
    492,704.55/739,078.70 = 193,158.45/x
  3. Step 3: Cross multiply
    492,704.55x = 739,078.70 × 193,158.45
  4. Step 4: Simplify right side
    492,704.55x = 142,759,296,120.02
  5. Step 5: Solve for x
    x = 142,759,296,120.02/492,704.55
  6. Step 6: Final answer
    x = 289,746.25

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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.