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Finding the Fourth Proportional to 311,953.72, 430,496.43 and 168,713.76

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Solution

The fourth proportional to 311,953.72, 430,496.43 and 168,713.76 is: 232,825.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,953.72 : 430,496.43 = 168,713.76 : x
  2. Step 2: Convert to fraction form
    311,953.72/430,496.43 = 168,713.76/x
  3. Step 3: Cross multiply
    311,953.72x = 430,496.43 × 168,713.76
  4. Step 4: Simplify right side
    311,953.72x = 72,630,671,371.88
  5. Step 5: Solve for x
    x = 72,630,671,371.88/311,953.72
  6. Step 6: Final answer
    x = 232,825.15

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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.