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Finding the Fourth Proportional to 345,195.92, 517,094.04 and 178,634

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Solution

The fourth proportional to 345,195.92, 517,094.04 and 178,634 is: 267,588.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,195.92 : 517,094.04 = 178,634 : x
  2. Step 2: Convert to fraction form
    345,195.92/517,094.04 = 178,634/x
  3. Step 3: Cross multiply
    345,195.92x = 517,094.04 × 178,634
  4. Step 4: Simplify right side
    345,195.92x = 92,370,576,741.36
  5. Step 5: Solve for x
    x = 92,370,576,741.36/345,195.92
  6. Step 6: Final answer
    x = 267,588.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.