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Finding the Fourth Proportional to 422,914.65, 634,443.08 and 209,693.09

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Solution

The fourth proportional to 422,914.65, 634,443.08 and 209,693.09 is: 314,574.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,914.65 : 634,443.08 = 209,693.09 : x
  2. Step 2: Convert to fraction form
    422,914.65/634,443.08 = 209,693.09/x
  3. Step 3: Cross multiply
    422,914.65x = 634,443.08 × 209,693.09
  4. Step 4: Simplify right side
    422,914.65x = 133,038,327,226.34
  5. Step 5: Solve for x
    x = 133,038,327,226.34/422,914.65
  6. Step 6: Final answer
    x = 314,574.88

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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.