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Finding the Fourth Proportional to 311,894.20, 430,416.58 and 172,197.30

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Solution

The fourth proportional to 311,894.20, 430,416.58 and 172,197.30 is: 237,633.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,894.20 : 430,416.58 = 172,197.30 : x
  2. Step 2: Convert to fraction form
    311,894.20/430,416.58 = 172,197.30/x
  3. Step 3: Cross multiply
    311,894.20x = 430,416.58 × 172,197.30
  4. Step 4: Simplify right side
    311,894.20x = 74,116,572,951.23
  5. Step 5: Solve for x
    x = 74,116,572,951.23/311,894.20
  6. Step 6: Final answer
    x = 237,633.70

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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.