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Finding the Fourth Proportional to 559,740, 772,441.74 and 305,092.20

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Solution

The fourth proportional to 559,740, 772,441.74 and 305,092.20 is: 421,027.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,740 : 772,441.74 = 305,092.20 : x
  2. Step 2: Convert to fraction form
    559,740/772,441.74 = 305,092.20/x
  3. Step 3: Cross multiply
    559,740x = 772,441.74 × 305,092.20
  4. Step 4: Simplify right side
    559,740x = 235,665,949,828.43
  5. Step 5: Solve for x
    x = 235,665,949,828.43/559,740
  6. Step 6: Final answer
    x = 421,027.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.