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Finding the Fourth Proportional to 356,564.94, 491,776.14 and 303,027.18

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Solution

The fourth proportional to 356,564.94, 491,776.14 and 303,027.18 is: 417,936.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,564.94 : 491,776.14 = 303,027.18 : x
  2. Step 2: Convert to fraction form
    356,564.94/491,776.14 = 303,027.18/x
  3. Step 3: Cross multiply
    356,564.94x = 491,776.14 × 303,027.18
  4. Step 4: Simplify right side
    356,564.94x = 149,021,536,895.49
  5. Step 5: Solve for x
    x = 149,021,536,895.49/356,564.94
  6. Step 6: Final answer
    x = 417,936.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.