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Finding the Fourth Proportional to 319,518, 479,006.28 and 214,014

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Solution

The fourth proportional to 319,518, 479,006.28 and 214,014 is: 320,839.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,518 : 479,006.28 = 214,014 : x
  2. Step 2: Convert to fraction form
    319,518/479,006.28 = 214,014/x
  3. Step 3: Cross multiply
    319,518x = 479,006.28 × 214,014
  4. Step 4: Simplify right side
    319,518x = 102,514,050,007.92
  5. Step 5: Solve for x
    x = 102,514,050,007.92/319,518
  6. Step 6: Final answer
    x = 320,839.67

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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.