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Finding the Fourth Proportional to 505,144.24, 697,189.44 and 301,208.32

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Solution

The fourth proportional to 505,144.24, 697,189.44 and 301,208.32 is: 415,721.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,144.24 : 697,189.44 = 301,208.32 : x
  2. Step 2: Convert to fraction form
    505,144.24/697,189.44 = 301,208.32/x
  3. Step 3: Cross multiply
    505,144.24x = 697,189.44 × 301,208.32
  4. Step 4: Simplify right side
    505,144.24x = 209,999,259,944.14
  5. Step 5: Solve for x
    x = 209,999,259,944.14/505,144.24
  6. Step 6: Final answer
    x = 415,721.38

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1.5x scale

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.