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Finding the Fourth Proportional to 505,260.12, 697,257.54 and 278,904

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Solution

The fourth proportional to 505,260.12, 697,257.54 and 278,904 is: 384,886.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,260.12 : 697,257.54 = 278,904 : x
  2. Step 2: Convert to fraction form
    505,260.12/697,257.54 = 278,904/x
  3. Step 3: Cross multiply
    505,260.12x = 697,257.54 × 278,904
  4. Step 4: Simplify right side
    505,260.12x = 194,467,916,936.16
  5. Step 5: Solve for x
    x = 194,467,916,936.16/505,260.12
  6. Step 6: Final answer
    x = 384,886.73

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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.