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Finding the Fourth Proportional to 476,761.49, 657,655.79 and 285,664.15

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Solution

The fourth proportional to 476,761.49, 657,655.79 and 285,664.15 is: 394,051.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,761.49 : 657,655.79 = 285,664.15 : x
  2. Step 2: Convert to fraction form
    476,761.49/657,655.79 = 285,664.15/x
  3. Step 3: Cross multiply
    476,761.49x = 657,655.79 × 285,664.15
  4. Step 4: Simplify right side
    476,761.49x = 187,868,682,242.93
  5. Step 5: Solve for x
    x = 187,868,682,242.93/476,761.49
  6. Step 6: Final answer
    x = 394,051.71

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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.