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Finding the Fourth Proportional to 358,015.64, 494,027.78 and 212,809.77

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Solution

The fourth proportional to 358,015.64, 494,027.78 and 212,809.77 is: 293,657.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,015.64 : 494,027.78 = 212,809.77 : x
  2. Step 2: Convert to fraction form
    358,015.64/494,027.78 = 212,809.77/x
  3. Step 3: Cross multiply
    358,015.64x = 494,027.78 × 212,809.77
  4. Step 4: Simplify right side
    358,015.64x = 105,133,937,171.36
  5. Step 5: Solve for x
    x = 105,133,937,171.36/358,015.64
  6. Step 6: Final answer
    x = 293,657.39

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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.