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Finding the Fourth Proportional to 389,630, 537,690.12 and 210,782

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Solution

The fourth proportional to 389,630, 537,690.12 and 210,782 is: 290,879.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,630 : 537,690.12 = 210,782 : x
  2. Step 2: Convert to fraction form
    389,630/537,690.12 = 210,782/x
  3. Step 3: Cross multiply
    389,630x = 537,690.12 × 210,782
  4. Step 4: Simplify right side
    389,630x = 113,335,398,873.84
  5. Step 5: Solve for x
    x = 113,335,398,873.84/389,630
  6. Step 6: Final answer
    x = 290,879.55

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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.