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Finding the Fourth Proportional to 505,224, 697,209.18 and 278,869.56

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Solution

The fourth proportional to 505,224, 697,209.18 and 278,869.56 is: 384,840.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,224 : 697,209.18 = 278,869.56 : x
  2. Step 2: Convert to fraction form
    505,224/697,209.18 = 278,869.56/x
  3. Step 3: Cross multiply
    505,224x = 697,209.18 × 278,869.56
  4. Step 4: Simplify right side
    505,224x = 194,430,417,254.56
  5. Step 5: Solve for x
    x = 194,430,417,254.56/505,224
  6. Step 6: Final answer
    x = 384,840.03

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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.