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Finding the Fourth Proportional to 461,050.32, 691,575.44 and 145,728.64

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Solution

The fourth proportional to 461,050.32, 691,575.44 and 145,728.64 is: 218,592.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,050.32 : 691,575.44 = 145,728.64 : x
  2. Step 2: Convert to fraction form
    461,050.32/691,575.44 = 145,728.64/x
  3. Step 3: Cross multiply
    461,050.32x = 691,575.44 × 145,728.64
  4. Step 4: Simplify right side
    461,050.32x = 100,782,348,328.60
  5. Step 5: Solve for x
    x = 100,782,348,328.60/461,050.32
  6. Step 6: Final answer
    x = 218,592.95

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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.