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Finding the Fourth Proportional to 505,378.25, 697,423.46 and 275,937.51

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Solution

The fourth proportional to 505,378.25, 697,423.46 and 275,937.51 is: 380,794.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,378.25 : 697,423.46 = 275,937.51 : x
  2. Step 2: Convert to fraction form
    505,378.25/697,423.46 = 275,937.51/x
  3. Step 3: Cross multiply
    505,378.25x = 697,423.46 × 275,937.51
  4. Step 4: Simplify right side
    505,378.25x = 192,445,291,588.30
  5. Step 5: Solve for x
    x = 192,445,291,588.30/505,378.25
  6. Step 6: Final answer
    x = 380,794.57

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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.