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Finding the Fourth Proportional to 496,630, 745,061.76 and 164,206

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Solution

The fourth proportional to 496,630, 745,061.76 and 164,206 is: 246,347.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,630 : 745,061.76 = 164,206 : x
  2. Step 2: Convert to fraction form
    496,630/745,061.76 = 164,206/x
  3. Step 3: Cross multiply
    496,630x = 745,061.76 × 164,206
  4. Step 4: Simplify right side
    496,630x = 122,343,611,362.56
  5. Step 5: Solve for x
    x = 122,343,611,362.56/496,630
  6. Step 6: Final answer
    x = 246,347.61

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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.