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Finding the Fourth Proportional to 567,435.84, 782,999.64 and 312,738

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Solution

The fourth proportional to 567,435.84, 782,999.64 and 312,738 is: 431,544.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,435.84 : 782,999.64 = 312,738 : x
  2. Step 2: Convert to fraction form
    567,435.84/782,999.64 = 312,738/x
  3. Step 3: Cross multiply
    567,435.84x = 782,999.64 × 312,738
  4. Step 4: Simplify right side
    567,435.84x = 244,873,741,414.32
  5. Step 5: Solve for x
    x = 244,873,741,414.32/567,435.84
  6. Step 6: Final answer
    x = 431,544.37

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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.