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Finding the Fourth Proportional to 387,780, 535,213.11 and 251,622.78

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Solution

The fourth proportional to 387,780, 535,213.11 and 251,622.78 is: 347,289.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,780 : 535,213.11 = 251,622.78 : x
  2. Step 2: Convert to fraction form
    387,780/535,213.11 = 251,622.78/x
  3. Step 3: Cross multiply
    387,780x = 535,213.11 × 251,622.78
  4. Step 4: Simplify right side
    387,780x = 134,671,810,630.65
  5. Step 5: Solve for x
    x = 134,671,810,630.65/387,780
  6. Step 6: Final answer
    x = 347,289.21

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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.