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Finding the Fourth Proportional to 311,896.04, 430,421.50 and 175,932.68

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Solution

The fourth proportional to 311,896.04, 430,421.50 and 175,932.68 is: 242,789.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,896.04 : 430,421.50 = 175,932.68 : x
  2. Step 2: Convert to fraction form
    311,896.04/430,421.50 = 175,932.68/x
  3. Step 3: Cross multiply
    311,896.04x = 430,421.50 × 175,932.68
  4. Step 4: Simplify right side
    311,896.04x = 75,725,208,024.62
  5. Step 5: Solve for x
    x = 75,725,208,024.62/311,896.04
  6. Step 6: Final answer
    x = 242,789.90

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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.