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Finding the Fourth Proportional to 505,212.72, 697,169.88 and 290,201.52

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Solution

The fourth proportional to 505,212.72, 697,169.88 and 290,201.52 is: 400,464.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,212.72 : 697,169.88 = 290,201.52 : x
  2. Step 2: Convert to fraction form
    505,212.72/697,169.88 = 290,201.52/x
  3. Step 3: Cross multiply
    505,212.72x = 697,169.88 × 290,201.52
  4. Step 4: Simplify right side
    505,212.72x = 202,319,758,874.22
  5. Step 5: Solve for x
    x = 202,319,758,874.22/505,212.72
  6. Step 6: Final answer
    x = 400,464.50

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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.