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Finding the Fourth Proportional to 313,471.50, 432,723.11 and 211,634.91

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Solution

The fourth proportional to 313,471.50, 432,723.11 and 211,634.91 is: 292,145.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,471.50 : 432,723.11 = 211,634.91 : x
  2. Step 2: Convert to fraction form
    313,471.50/432,723.11 = 211,634.91/x
  3. Step 3: Cross multiply
    313,471.50x = 432,723.11 × 211,634.91
  4. Step 4: Simplify right side
    313,471.50x = 91,579,316,968.86
  5. Step 5: Solve for x
    x = 91,579,316,968.86/313,471.50
  6. Step 6: Final answer
    x = 292,145.59

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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.