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Finding the Fourth Proportional to 413,819.40, 620,729.10 and 214,200.98

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Solution

The fourth proportional to 413,819.40, 620,729.10 and 214,200.98 is: 321,301.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,819.40 : 620,729.10 = 214,200.98 : x
  2. Step 2: Convert to fraction form
    413,819.40/620,729.10 = 214,200.98/x
  3. Step 3: Cross multiply
    413,819.40x = 620,729.10 × 214,200.98
  4. Step 4: Simplify right side
    413,819.40x = 132,960,778,430.87
  5. Step 5: Solve for x
    x = 132,960,778,430.87/413,819.40
  6. Step 6: Final answer
    x = 321,301.46

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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.