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Finding the Fourth Proportional to 505,256.12, 697,252.02 and 278,900

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Solution

The fourth proportional to 505,256.12, 697,252.02 and 278,900 is: 384,881.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,256.12 : 697,252.02 = 278,900 : x
  2. Step 2: Convert to fraction form
    505,256.12/697,252.02 = 278,900/x
  3. Step 3: Cross multiply
    505,256.12x = 697,252.02 × 278,900
  4. Step 4: Simplify right side
    505,256.12x = 194,463,588,378
  5. Step 5: Solve for x
    x = 194,463,588,378/505,256.12
  6. Step 6: Final answer
    x = 384,881.21

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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.