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Finding the Fourth Proportional to 393,120, 589,680 and 130,464

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Solution

The fourth proportional to 393,120, 589,680 and 130,464 is: 195,696

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,120 : 589,680 = 130,464 : x
  2. Step 2: Convert to fraction form
    393,120/589,680 = 130,464/x
  3. Step 3: Cross multiply
    393,120x = 589,680 × 130,464
  4. Step 4: Simplify right side
    393,120x = 76,932,011,520
  5. Step 5: Solve for x
    x = 76,932,011,520/393,120
  6. Step 6: Final answer
    x = 195,696

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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.