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Finding the Fourth Proportional to 513,597.18, 769,978.20 and 214,300.69

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Solution

The fourth proportional to 513,597.18, 769,978.20 and 214,300.69 is: 321,276.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,597.18 : 769,978.20 = 214,300.69 : x
  2. Step 2: Convert to fraction form
    513,597.18/769,978.20 = 214,300.69/x
  3. Step 3: Cross multiply
    513,597.18x = 769,978.20 × 214,300.69
  4. Step 4: Simplify right side
    513,597.18x = 165,006,859,544.96
  5. Step 5: Solve for x
    x = 165,006,859,544.96/513,597.18
  6. Step 6: Final answer
    x = 321,276.80

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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.