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Finding the Fourth Proportional to 505,134.12, 697,083.66 and 278,778

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Solution

The fourth proportional to 505,134.12, 697,083.66 and 278,778 is: 384,712.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,134.12 : 697,083.66 = 278,778 : x
  2. Step 2: Convert to fraction form
    505,134.12/697,083.66 = 278,778/x
  3. Step 3: Cross multiply
    505,134.12x = 697,083.66 × 278,778
  4. Step 4: Simplify right side
    505,134.12x = 194,331,588,567.48
  5. Step 5: Solve for x
    x = 194,331,588,567.48/505,134.12
  6. Step 6: Final answer
    x = 384,712.85

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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.