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Finding the Fourth Proportional to 686,998.15, 948,072.64 and 381,064.56

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Solution

The fourth proportional to 686,998.15, 948,072.64 and 381,064.56 is: 525,877.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,998.15 : 948,072.64 = 381,064.56 : x
  2. Step 2: Convert to fraction form
    686,998.15/948,072.64 = 381,064.56/x
  3. Step 3: Cross multiply
    686,998.15x = 948,072.64 × 381,064.56
  4. Step 4: Simplify right side
    686,998.15x = 361,276,883,409.64
  5. Step 5: Solve for x
    x = 361,276,883,409.64/686,998.15
  6. Step 6: Final answer
    x = 525,877.52

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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.