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Finding the Fourth Proportional to 505,944.08, 698,175.36 and 279,575

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Solution

The fourth proportional to 505,944.08, 698,175.36 and 279,575 is: 385,798.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,944.08 : 698,175.36 = 279,575 : x
  2. Step 2: Convert to fraction form
    505,944.08/698,175.36 = 279,575/x
  3. Step 3: Cross multiply
    505,944.08x = 698,175.36 × 279,575
  4. Step 4: Simplify right side
    505,944.08x = 195,192,376,272
  5. Step 5: Solve for x
    x = 195,192,376,272/505,944.08
  6. Step 6: Final answer
    x = 385,798.32

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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.