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Finding the Fourth Proportional to 393,462, 590,195.16 and 97,974

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Solution

The fourth proportional to 393,462, 590,195.16 and 97,974 is: 146,961.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,462 : 590,195.16 = 97,974 : x
  2. Step 2: Convert to fraction form
    393,462/590,195.16 = 97,974/x
  3. Step 3: Cross multiply
    393,462x = 590,195.16 × 97,974
  4. Step 4: Simplify right side
    393,462x = 57,823,780,605.84
  5. Step 5: Solve for x
    x = 57,823,780,605.84/393,462
  6. Step 6: Final answer
    x = 146,961.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.