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Finding the Fourth Proportional to 686,953.22, 948,108.97 and 381,128.10

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Solution

The fourth proportional to 686,953.22, 948,108.97 and 381,128.10 is: 526,019.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,953.22 : 948,108.97 = 381,128.10 : x
  2. Step 2: Convert to fraction form
    686,953.22/948,108.97 = 381,128.10/x
  3. Step 3: Cross multiply
    686,953.22x = 948,108.97 × 381,128.10
  4. Step 4: Simplify right side
    686,953.22x = 361,350,967,250.06
  5. Step 5: Solve for x
    x = 361,350,967,250.06/686,953.22
  6. Step 6: Final answer
    x = 526,019.76

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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.