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Finding the Fourth Proportional to 482,830.96, 665,843.84 and 289,207.68

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Solution

The fourth proportional to 482,830.96, 665,843.84 and 289,207.68 is: 398,829.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,830.96 : 665,843.84 = 289,207.68 : x
  2. Step 2: Convert to fraction form
    482,830.96/665,843.84 = 289,207.68/x
  3. Step 3: Cross multiply
    482,830.96x = 665,843.84 × 289,207.68
  4. Step 4: Simplify right side
    482,830.96x = 192,567,152,208.69
  5. Step 5: Solve for x
    x = 192,567,152,208.69/482,830.96
  6. Step 6: Final answer
    x = 398,829.34

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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.