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Finding the Fourth Proportional to 320,859.90, 442,861.02 and 213,434.46

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Solution

The fourth proportional to 320,859.90, 442,861.02 and 213,434.46 is: 294,589.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,859.90 : 442,861.02 = 213,434.46 : x
  2. Step 2: Convert to fraction form
    320,859.90/442,861.02 = 213,434.46/x
  3. Step 3: Cross multiply
    320,859.90x = 442,861.02 × 213,434.46
  4. Step 4: Simplify right side
    320,859.90x = 94,521,802,658.75
  5. Step 5: Solve for x
    x = 94,521,802,658.75/320,859.90
  6. Step 6: Final answer
    x = 294,589.02

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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.