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Finding the Fourth Proportional to 505,137.62, 697,088.49 and 278,781.50

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Solution

The fourth proportional to 505,137.62, 697,088.49 and 278,781.50 is: 384,717.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,137.62 : 697,088.49 = 278,781.50 : x
  2. Step 2: Convert to fraction form
    505,137.62/697,088.49 = 278,781.50/x
  3. Step 3: Cross multiply
    505,137.62x = 697,088.49 × 278,781.50
  4. Step 4: Simplify right side
    505,137.62x = 194,335,374,874.94
  5. Step 5: Solve for x
    x = 194,335,374,874.94/505,137.62
  6. Step 6: Final answer
    x = 384,717.68

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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.