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Finding the Fourth Proportional to 505,239.12, 697,228.56 and 278,883

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Solution

The fourth proportional to 505,239.12, 697,228.56 and 278,883 is: 384,857.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,239.12 : 697,228.56 = 278,883 : x
  2. Step 2: Convert to fraction form
    505,239.12/697,228.56 = 278,883/x
  3. Step 3: Cross multiply
    505,239.12x = 697,228.56 × 278,883
  4. Step 4: Simplify right side
    505,239.12x = 194,445,192,498.48
  5. Step 5: Solve for x
    x = 194,445,192,498.48/505,239.12
  6. Step 6: Final answer
    x = 384,857.75

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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.