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Finding the Fourth Proportional to 379,699.76, 523,969.08 and 207,614.48

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Solution

The fourth proportional to 379,699.76, 523,969.08 and 207,614.48 is: 286,498.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,699.76 : 523,969.08 = 207,614.48 : x
  2. Step 2: Convert to fraction form
    379,699.76/523,969.08 = 207,614.48/x
  3. Step 3: Cross multiply
    379,699.76x = 523,969.08 × 207,614.48
  4. Step 4: Simplify right side
    379,699.76x = 108,783,568,080.28
  5. Step 5: Solve for x
    x = 108,783,568,080.28/379,699.76
  6. Step 6: Final answer
    x = 286,498.91

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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.