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Finding the Fourth Proportional to 285,234.18, 427,845.51 and 98,241.54

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Solution

The fourth proportional to 285,234.18, 427,845.51 and 98,241.54 is: 147,360.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,234.18 : 427,845.51 = 98,241.54 : x
  2. Step 2: Convert to fraction form
    285,234.18/427,845.51 = 98,241.54/x
  3. Step 3: Cross multiply
    285,234.18x = 427,845.51 × 98,241.54
  4. Step 4: Simplify right side
    285,234.18x = 42,032,201,784.49
  5. Step 5: Solve for x
    x = 42,032,201,784.49/285,234.18
  6. Step 6: Final answer
    x = 147,360.33

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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.