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Finding the Fourth Proportional to 311,896.35, 430,419.53 and 172,199.45

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Solution

The fourth proportional to 311,896.35, 430,419.53 and 172,199.45 is: 237,636.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,896.35 : 430,419.53 = 172,199.45 : x
  2. Step 2: Convert to fraction form
    311,896.35/430,419.53 = 172,199.45/x
  3. Step 3: Cross multiply
    311,896.35x = 430,419.53 × 172,199.45
  4. Step 4: Simplify right side
    311,896.35x = 74,118,006,335.26
  5. Step 5: Solve for x
    x = 74,118,006,335.26/311,896.35
  6. Step 6: Final answer
    x = 237,636.66

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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.