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Finding the Fourth Proportional to 285,276.34, 427,994.48 and 114,617.89

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Solution

The fourth proportional to 285,276.34, 427,994.48 and 114,617.89 is: 171,958.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,276.34 : 427,994.48 = 114,617.89 : x
  2. Step 2: Convert to fraction form
    285,276.34/427,994.48 = 114,617.89/x
  3. Step 3: Cross multiply
    285,276.34x = 427,994.48 × 114,617.89
  4. Step 4: Simplify right side
    285,276.34x = 49,055,823,445.81
  5. Step 5: Solve for x
    x = 49,055,823,445.81/285,276.34
  6. Step 6: Final answer
    x = 171,958.96

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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.