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Finding the Fourth Proportional to 512,523.45, 769,060.98 and 213,210.63

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Solution

The fourth proportional to 512,523.45, 769,060.98 and 213,210.63 is: 319,930.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,523.45 : 769,060.98 = 213,210.63 : x
  2. Step 2: Convert to fraction form
    512,523.45/769,060.98 = 213,210.63/x
  3. Step 3: Cross multiply
    512,523.45x = 769,060.98 × 213,210.63
  4. Step 4: Simplify right side
    512,523.45x = 163,971,976,054.22
  5. Step 5: Solve for x
    x = 163,971,976,054.22/512,523.45
  6. Step 6: Final answer
    x = 319,930.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.