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Finding the Fourth Proportional to 505,220, 697,203.66 and 278,865.56

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Solution

The fourth proportional to 505,220, 697,203.66 and 278,865.56 is: 384,834.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,220 : 697,203.66 = 278,865.56 : x
  2. Step 2: Convert to fraction form
    505,220/697,203.66 = 278,865.56/x
  3. Step 3: Cross multiply
    505,220x = 697,203.66 × 278,865.56
  4. Step 4: Simplify right side
    505,220x = 194,426,089,079.95
  5. Step 5: Solve for x
    x = 194,426,089,079.95/505,220
  6. Step 6: Final answer
    x = 384,834.51

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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.