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Finding the Fourth Proportional to 505,132.74, 697,061.25 and 275,684.22

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Solution

The fourth proportional to 505,132.74, 697,061.25 and 275,684.22 is: 380,432.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,132.74 : 697,061.25 = 275,684.22 : x
  2. Step 2: Convert to fraction form
    505,132.74/697,061.25 = 275,684.22/x
  3. Step 3: Cross multiply
    505,132.74x = 697,061.25 × 275,684.22
  4. Step 4: Simplify right side
    505,132.74x = 192,168,786,998.48
  5. Step 5: Solve for x
    x = 192,168,786,998.48/505,132.74
  6. Step 6: Final answer
    x = 380,432.25

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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.