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Finding the Fourth Proportional to 505,906.49, 698,190.65 and 288,124.33

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Solution

The fourth proportional to 505,906.49, 698,190.65 and 288,124.33 is: 397,634.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,906.49 : 698,190.65 = 288,124.33 : x
  2. Step 2: Convert to fraction form
    505,906.49/698,190.65 = 288,124.33/x
  3. Step 3: Cross multiply
    505,906.49x = 698,190.65 × 288,124.33
  4. Step 4: Simplify right side
    505,906.49x = 201,165,713,243.52
  5. Step 5: Solve for x
    x = 201,165,713,243.52/505,906.49
  6. Step 6: Final answer
    x = 397,634.18

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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.