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Finding the Fourth Proportional to 505,254.12, 697,249.26 and 278,898

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Solution

The fourth proportional to 505,254.12, 697,249.26 and 278,898 is: 384,878.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,254.12 : 697,249.26 = 278,898 : x
  2. Step 2: Convert to fraction form
    505,254.12/697,249.26 = 278,898/x
  3. Step 3: Cross multiply
    505,254.12x = 697,249.26 × 278,898
  4. Step 4: Simplify right side
    505,254.12x = 194,461,424,115.48
  5. Step 5: Solve for x
    x = 194,461,424,115.48/505,254.12
  6. Step 6: Final answer
    x = 384,878.45

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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.