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Finding the Fourth Proportional to 311,801.52, 430,255.86 and 175,856.64

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Solution

The fourth proportional to 311,801.52, 430,255.86 and 175,856.64 is: 242,665.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,801.52 : 430,255.86 = 175,856.64 : x
  2. Step 2: Convert to fraction form
    311,801.52/430,255.86 = 175,856.64/x
  3. Step 3: Cross multiply
    311,801.52x = 430,255.86 × 175,856.64
  4. Step 4: Simplify right side
    311,801.52x = 75,663,349,879.91
  5. Step 5: Solve for x
    x = 75,663,349,879.91/311,801.52
  6. Step 6: Final answer
    x = 242,665.11

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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.