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Finding the Fourth Proportional to 461,704.60, 692,621.70 and 146,128.60

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Solution

The fourth proportional to 461,704.60, 692,621.70 and 146,128.60 is: 219,213.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,704.60 : 692,621.70 = 146,128.60 : x
  2. Step 2: Convert to fraction form
    461,704.60/692,621.70 = 146,128.60/x
  3. Step 3: Cross multiply
    461,704.60x = 692,621.70 × 146,128.60
  4. Step 4: Simplify right side
    461,704.60x = 101,211,839,350.62
  5. Step 5: Solve for x
    x = 101,211,839,350.62/461,704.60
  6. Step 6: Final answer
    x = 219,213.41

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1.5x scale

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.