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Finding the Fourth Proportional to 311,953.52, 430,495.85 and 168,713.56

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Solution

The fourth proportional to 311,953.52, 430,495.85 and 168,713.56 is: 232,824.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,953.52 : 430,495.85 = 168,713.56 : x
  2. Step 2: Convert to fraction form
    311,953.52/430,495.85 = 168,713.56/x
  3. Step 3: Cross multiply
    311,953.52x = 430,495.85 × 168,713.56
  4. Step 4: Simplify right side
    311,953.52x = 72,630,486,930.61
  5. Step 5: Solve for x
    x = 72,630,486,930.61/311,953.52
  6. Step 6: Final answer
    x = 232,824.71

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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.