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Finding the Fourth Proportional to 311,893.32, 430,415.35 and 172,196.42

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Solution

The fourth proportional to 311,893.32, 430,415.35 and 172,196.42 is: 237,632.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,893.32 : 430,415.35 = 172,196.42 : x
  2. Step 2: Convert to fraction form
    311,893.32/430,415.35 = 172,196.42/x
  3. Step 3: Cross multiply
    311,893.32x = 430,415.35 × 172,196.42
  4. Step 4: Simplify right side
    311,893.32x = 74,115,980,230.97
  5. Step 5: Solve for x
    x = 74,115,980,230.97/311,893.32
  6. Step 6: Final answer
    x = 237,632.47

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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.