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Finding the Fourth Proportional to 311,021.52, 429,416.28 and 239,274.96

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Solution

The fourth proportional to 311,021.52, 429,416.28 and 239,274.96 is: 330,358.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,021.52 : 429,416.28 = 239,274.96 : x
  2. Step 2: Convert to fraction form
    311,021.52/429,416.28 = 239,274.96/x
  3. Step 3: Cross multiply
    311,021.52x = 429,416.28 × 239,274.96
  4. Step 4: Simplify right side
    311,021.52x = 102,748,563,220.35
  5. Step 5: Solve for x
    x = 102,748,563,220.35/311,021.52
  6. Step 6: Final answer
    x = 330,358.37

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1.5x scale

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.