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Finding the Fourth Proportional to 461,028, 691,814.16 and 194,771.28

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Solution

The fourth proportional to 461,028, 691,814.16 and 194,771.28 is: 292,271.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,028 : 691,814.16 = 194,771.28 : x
  2. Step 2: Convert to fraction form
    461,028/691,814.16 = 194,771.28/x
  3. Step 3: Cross multiply
    461,028x = 691,814.16 × 194,771.28
  4. Step 4: Simplify right side
    461,028x = 134,745,529,465.33
  5. Step 5: Solve for x
    x = 134,745,529,465.33/461,028
  6. Step 6: Final answer
    x = 292,271.90

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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.