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Finding the Fourth Proportional to 505,847.58, 698,009.94 and 301,860.72

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Solution

The fourth proportional to 505,847.58, 698,009.94 and 301,860.72 is: 416,532.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,847.58 : 698,009.94 = 301,860.72 : x
  2. Step 2: Convert to fraction form
    505,847.58/698,009.94 = 301,860.72/x
  3. Step 3: Cross multiply
    505,847.58x = 698,009.94 × 301,860.72
  4. Step 4: Simplify right side
    505,847.58x = 210,701,783,055.56
  5. Step 5: Solve for x
    x = 210,701,783,055.56/505,847.58
  6. Step 6: Final answer
    x = 416,532.16

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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.