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Finding the Fourth Proportional to 356,844, 492,444.72 and 197,868

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Solution

The fourth proportional to 356,844, 492,444.72 and 197,868 is: 273,057.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,844 : 492,444.72 = 197,868 : x
  2. Step 2: Convert to fraction form
    356,844/492,444.72 = 197,868/x
  3. Step 3: Cross multiply
    356,844x = 492,444.72 × 197,868
  4. Step 4: Simplify right side
    356,844x = 97,439,051,856.96
  5. Step 5: Solve for x
    x = 97,439,051,856.96/356,844
  6. Step 6: Final answer
    x = 273,057.84

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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.