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Finding the Fourth Proportional to 505,201.96, 697,074.63 and 290,300.50

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Solution

The fourth proportional to 505,201.96, 697,074.63 and 290,300.50 is: 400,554.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,201.96 : 697,074.63 = 290,300.50 : x
  2. Step 2: Convert to fraction form
    505,201.96/697,074.63 = 290,300.50/x
  3. Step 3: Cross multiply
    505,201.96x = 697,074.63 × 290,300.50
  4. Step 4: Simplify right side
    505,201.96x = 202,361,113,917.50
  5. Step 5: Solve for x
    x = 202,361,113,917.50/505,201.96
  6. Step 6: Final answer
    x = 400,554.89

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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.