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Finding the Fourth Proportional to 505,903.80, 698,064.36 and 299,143.44

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Solution

The fourth proportional to 505,903.80, 698,064.36 and 299,143.44 is: 412,768.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,903.80 : 698,064.36 = 299,143.44 : x
  2. Step 2: Convert to fraction form
    505,903.80/698,064.36 = 299,143.44/x
  3. Step 3: Cross multiply
    505,903.80x = 698,064.36 × 299,143.44
  4. Step 4: Simplify right side
    505,903.80x = 208,821,373,991.80
  5. Step 5: Solve for x
    x = 208,821,373,991.80/505,903.80
  6. Step 6: Final answer
    x = 412,768.94

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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.