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Finding the Fourth Proportional to 500,969.18, 691,365.29 and 286,179.05

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Solution

The fourth proportional to 500,969.18, 691,365.29 and 286,179.05 is: 394,942.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,969.18 : 691,365.29 = 286,179.05 : x
  2. Step 2: Convert to fraction form
    500,969.18/691,365.29 = 286,179.05/x
  3. Step 3: Cross multiply
    500,969.18x = 691,365.29 × 286,179.05
  4. Step 4: Simplify right side
    500,969.18x = 197,854,257,007.45
  5. Step 5: Solve for x
    x = 197,854,257,007.45/500,969.18
  6. Step 6: Final answer
    x = 394,942.98

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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.