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Finding the Fourth Proportional to 505,075.84, 697,002.24 and 278,735.20

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Solution

The fourth proportional to 505,075.84, 697,002.24 and 278,735.20 is: 384,653.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,075.84 : 697,002.24 = 278,735.20 : x
  2. Step 2: Convert to fraction form
    505,075.84/697,002.24 = 278,735.20/x
  3. Step 3: Cross multiply
    505,075.84x = 697,002.24 × 278,735.20
  4. Step 4: Simplify right side
    505,075.84x = 194,279,058,766.85
  5. Step 5: Solve for x
    x = 194,279,058,766.85/505,075.84
  6. Step 6: Final answer
    x = 384,653.24

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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.