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Finding the Fourth Proportional to 286,056.34, 394,834.32 and 178,561.64

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Solution

The fourth proportional to 286,056.34, 394,834.32 and 178,561.64 is: 246,462.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,056.34 : 394,834.32 = 178,561.64 : x
  2. Step 2: Convert to fraction form
    286,056.34/394,834.32 = 178,561.64/x
  3. Step 3: Cross multiply
    286,056.34x = 394,834.32 × 178,561.64
  4. Step 4: Simplify right side
    286,056.34x = 70,502,263,707.48
  5. Step 5: Solve for x
    x = 70,502,263,707.48/286,056.34
  6. Step 6: Final answer
    x = 246,462.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.