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Finding the Fourth Proportional to 422,432.56, 633,643.36 and 102,587.05

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Solution

The fourth proportional to 422,432.56, 633,643.36 and 102,587.05 is: 153,879.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,432.56 : 633,643.36 = 102,587.05 : x
  2. Step 2: Convert to fraction form
    422,432.56/633,643.36 = 102,587.05/x
  3. Step 3: Cross multiply
    422,432.56x = 633,643.36 × 102,587.05
  4. Step 4: Simplify right side
    422,432.56x = 65,003,603,054.49
  5. Step 5: Solve for x
    x = 65,003,603,054.49/422,432.56
  6. Step 6: Final answer
    x = 153,879.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.