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Finding the Fourth Proportional to 523,630, 722,609.40 and 285,166

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Solution

The fourth proportional to 523,630, 722,609.40 and 285,166 is: 393,529.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,630 : 722,609.40 = 285,166 : x
  2. Step 2: Convert to fraction form
    523,630/722,609.40 = 285,166/x
  3. Step 3: Cross multiply
    523,630x = 722,609.40 × 285,166
  4. Step 4: Simplify right side
    523,630x = 206,063,632,160.40
  5. Step 5: Solve for x
    x = 206,063,632,160.40/523,630
  6. Step 6: Final answer
    x = 393,529.08

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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.