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Finding the Fourth Proportional to 311,697.63, 429,943.28 and 216,169.47

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Solution

The fourth proportional to 311,697.63, 429,943.28 and 216,169.47 is: 298,175.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,697.63 : 429,943.28 = 216,169.47 : x
  2. Step 2: Convert to fraction form
    311,697.63/429,943.28 = 216,169.47/x
  3. Step 3: Cross multiply
    311,697.63x = 429,943.28 × 216,169.47
  4. Step 4: Simplify right side
    311,697.63x = 92,940,609,886.81
  5. Step 5: Solve for x
    x = 92,940,609,886.81/311,697.63
  6. Step 6: Final answer
    x = 298,175.54

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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.