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Finding the Fourth Proportional to 505,144.57, 697,089.63 and 275,703.50

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Solution

The fourth proportional to 505,144.57, 697,089.63 and 275,703.50 is: 380,465.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,144.57 : 697,089.63 = 275,703.50 : x
  2. Step 2: Convert to fraction form
    505,144.57/697,089.63 = 275,703.50/x
  3. Step 3: Cross multiply
    505,144.57x = 697,089.63 × 275,703.50
  4. Step 4: Simplify right side
    505,144.57x = 192,190,049,426.19
  5. Step 5: Solve for x
    x = 192,190,049,426.19/505,144.57
  6. Step 6: Final answer
    x = 380,465.44

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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.