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Finding the Fourth Proportional to 500,994.72, 691,400.52 and 286,204.50

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Solution

The fourth proportional to 500,994.72, 691,400.52 and 286,204.50 is: 394,978.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,994.72 : 691,400.52 = 286,204.50 : x
  2. Step 2: Convert to fraction form
    500,994.72/691,400.52 = 286,204.50/x
  3. Step 3: Cross multiply
    500,994.72x = 691,400.52 × 286,204.50
  4. Step 4: Simplify right side
    500,994.72x = 197,881,940,126.34
  5. Step 5: Solve for x
    x = 197,881,940,126.34/500,994.72
  6. Step 6: Final answer
    x = 394,978.10

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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.