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Finding the Fourth Proportional to 610,437, 915,786.72 and 205,669.44

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Solution

The fourth proportional to 610,437, 915,786.72 and 205,669.44 is: 308,548.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,437 : 915,786.72 = 205,669.44 : x
  2. Step 2: Convert to fraction form
    610,437/915,786.72 = 205,669.44/x
  3. Step 3: Cross multiply
    610,437x = 915,786.72 × 205,669.44
  4. Step 4: Simplify right side
    610,437x = 188,349,341,861.84
  5. Step 5: Solve for x
    x = 188,349,341,861.84/610,437
  6. Step 6: Final answer
    x = 308,548.37

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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.