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Finding the Fourth Proportional to 505,214.50, 697,196.07 and 278,860.06

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Solution

The fourth proportional to 505,214.50, 697,196.07 and 278,860.06 is: 384,826.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,214.50 : 697,196.07 = 278,860.06 : x
  2. Step 2: Convert to fraction form
    505,214.50/697,196.07 = 278,860.06/x
  3. Step 3: Cross multiply
    505,214.50x = 697,196.07 × 278,860.06
  4. Step 4: Simplify right side
    505,214.50x = 194,420,137,911.96
  5. Step 5: Solve for x
    x = 194,420,137,911.96/505,214.50
  6. Step 6: Final answer
    x = 384,826.92

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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.