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Finding the Fourth Proportional to 426,942, 589,302.84 and 281,853.72

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Solution

The fourth proportional to 426,942, 589,302.84 and 281,853.72 is: 389,039.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,942 : 589,302.84 = 281,853.72 : x
  2. Step 2: Convert to fraction form
    426,942/589,302.84 = 281,853.72/x
  3. Step 3: Cross multiply
    426,942x = 589,302.84 × 281,853.72
  4. Step 4: Simplify right side
    426,942x = 166,097,197,660.57
  5. Step 5: Solve for x
    x = 166,097,197,660.57/426,942
  6. Step 6: Final answer
    x = 389,039.26

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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.