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Finding the Fourth Proportional to 456,837.84, 685,396.98 and 204,330.78

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Solution

The fourth proportional to 456,837.84, 685,396.98 and 204,330.78 is: 306,558.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,837.84 : 685,396.98 = 204,330.78 : x
  2. Step 2: Convert to fraction form
    456,837.84/685,396.98 = 204,330.78/x
  3. Step 3: Cross multiply
    456,837.84x = 685,396.98 × 204,330.78
  4. Step 4: Simplify right side
    456,837.84x = 140,047,699,533.04
  5. Step 5: Solve for x
    x = 140,047,699,533.04/456,837.84
  6. Step 6: Final answer
    x = 306,558.89

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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.