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Finding the Fourth Proportional to 328,970.88, 493,242.48 and 129,310.80

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Solution

The fourth proportional to 328,970.88, 493,242.48 and 129,310.80 is: 193,882.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,970.88 : 493,242.48 = 129,310.80 : x
  2. Step 2: Convert to fraction form
    328,970.88/493,242.48 = 129,310.80/x
  3. Step 3: Cross multiply
    328,970.88x = 493,242.48 × 129,310.80
  4. Step 4: Simplify right side
    328,970.88x = 63,781,579,682.78
  5. Step 5: Solve for x
    x = 63,781,579,682.78/328,970.88
  6. Step 6: Final answer
    x = 193,882.14

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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.