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Finding the Fourth Proportional to 425,546.86, 638,342.16 and 110,006.50

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Solution

The fourth proportional to 425,546.86, 638,342.16 and 110,006.50 is: 165,015.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,546.86 : 638,342.16 = 110,006.50 : x
  2. Step 2: Convert to fraction form
    425,546.86/638,342.16 = 110,006.50/x
  3. Step 3: Cross multiply
    425,546.86x = 638,342.16 × 110,006.50
  4. Step 4: Simplify right side
    425,546.86x = 70,221,786,824.04
  5. Step 5: Solve for x
    x = 70,221,786,824.04/425,546.86
  6. Step 6: Final answer
    x = 165,015.40

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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.