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Finding the Fourth Proportional to 505,419.15, 758,790.69 and 338,015.25

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Solution

The fourth proportional to 505,419.15, 758,790.69 and 338,015.25 is: 507,465.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,419.15 : 758,790.69 = 338,015.25 : x
  2. Step 2: Convert to fraction form
    505,419.15/758,790.69 = 338,015.25/x
  3. Step 3: Cross multiply
    505,419.15x = 758,790.69 × 338,015.25
  4. Step 4: Simplify right side
    505,419.15x = 256,482,824,778.02
  5. Step 5: Solve for x
    x = 256,482,824,778.02/505,419.15
  6. Step 6: Final answer
    x = 507,465.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.