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Finding the Fourth Proportional to 561,072.96, 841,816.80 and 206,318.88

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Solution

The fourth proportional to 561,072.96, 841,816.80 and 206,318.88 is: 309,554.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,072.96 : 841,816.80 = 206,318.88 : x
  2. Step 2: Convert to fraction form
    561,072.96/841,816.80 = 206,318.88/x
  3. Step 3: Cross multiply
    561,072.96x = 841,816.80 × 206,318.88
  4. Step 4: Simplify right side
    561,072.96x = 173,682,699,341.18
  5. Step 5: Solve for x
    x = 173,682,699,341.18/561,072.96
  6. Step 6: Final answer
    x = 309,554.57

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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.