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Finding the Fourth Proportional to 505,252.12, 697,246.50 and 278,896

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Solution

The fourth proportional to 505,252.12, 697,246.50 and 278,896 is: 384,875.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,252.12 : 697,246.50 = 278,896 : x
  2. Step 2: Convert to fraction form
    505,252.12/697,246.50 = 278,896/x
  3. Step 3: Cross multiply
    505,252.12x = 697,246.50 × 278,896
  4. Step 4: Simplify right side
    505,252.12x = 194,459,259,864
  5. Step 5: Solve for x
    x = 194,459,259,864/505,252.12
  6. Step 6: Final answer
    x = 384,875.69

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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.