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Finding the Fourth Proportional to 285,363.70, 427,919.28 and 85,645.69

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Solution

The fourth proportional to 285,363.70, 427,919.28 and 85,645.69 is: 128,430.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,363.70 : 427,919.28 = 85,645.69 : x
  2. Step 2: Convert to fraction form
    285,363.70/427,919.28 = 85,645.69/x
  3. Step 3: Cross multiply
    285,363.70x = 427,919.28 × 85,645.69
  4. Step 4: Simplify right side
    285,363.70x = 36,649,441,999.90
  5. Step 5: Solve for x
    x = 36,649,441,999.90/285,363.70
  6. Step 6: Final answer
    x = 128,430.64

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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.