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Finding the Fourth Proportional to 422,657.05, 583,326.54 and 261,563.98

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Solution

The fourth proportional to 422,657.05, 583,326.54 and 261,563.98 is: 360,995.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,657.05 : 583,326.54 = 261,563.98 : x
  2. Step 2: Convert to fraction form
    422,657.05/583,326.54 = 261,563.98/x
  3. Step 3: Cross multiply
    422,657.05x = 583,326.54 × 261,563.98
  4. Step 4: Simplify right side
    422,657.05x = 152,577,211,442.03
  5. Step 5: Solve for x
    x = 152,577,211,442.03/422,657.05
  6. Step 6: Final answer
    x = 360,995.31

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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.