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Finding the Fourth Proportional to 308,937.34, 463,392.19 and 84,297.05

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Solution

The fourth proportional to 308,937.34, 463,392.19 and 84,297.05 is: 126,441.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,937.34 : 463,392.19 = 84,297.05 : x
  2. Step 2: Convert to fraction form
    308,937.34/463,392.19 = 84,297.05/x
  3. Step 3: Cross multiply
    308,937.34x = 463,392.19 × 84,297.05
  4. Step 4: Simplify right side
    308,937.34x = 39,062,596,742.75
  5. Step 5: Solve for x
    x = 39,062,596,742.75/308,937.34
  6. Step 6: Final answer
    x = 126,441.81

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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.