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Finding the Fourth Proportional to 354,782.78, 532,244.25 and 130,145.29

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Solution

The fourth proportional to 354,782.78, 532,244.25 and 130,145.29 is: 195,243.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,782.78 : 532,244.25 = 130,145.29 : x
  2. Step 2: Convert to fraction form
    354,782.78/532,244.25 = 130,145.29/x
  3. Step 3: Cross multiply
    354,782.78x = 532,244.25 × 130,145.29
  4. Step 4: Simplify right side
    354,782.78x = 69,269,080,936.47
  5. Step 5: Solve for x
    x = 69,269,080,936.47/354,782.78
  6. Step 6: Final answer
    x = 195,243.64

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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.