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Finding the Fourth Proportional to 500,998.72, 691,406.04 and 286,208.52

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Solution

The fourth proportional to 500,998.72, 691,406.04 and 286,208.52 is: 394,983.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,998.72 : 691,406.04 = 286,208.52 : x
  2. Step 2: Convert to fraction form
    500,998.72/691,406.04 = 286,208.52/x
  3. Step 3: Cross multiply
    500,998.72x = 691,406.04 × 286,208.52
  4. Step 4: Simplify right side
    500,998.72x = 197,886,299,427.46
  5. Step 5: Solve for x
    x = 197,886,299,427.46/500,998.72
  6. Step 6: Final answer
    x = 394,983.64

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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.