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Finding the Fourth Proportional to 341,465.16, 512,149.23 and 187,638.87

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Solution

The fourth proportional to 341,465.16, 512,149.23 and 187,638.87 is: 281,431.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,465.16 : 512,149.23 = 187,638.87 : x
  2. Step 2: Convert to fraction form
    341,465.16/512,149.23 = 187,638.87/x
  3. Step 3: Cross multiply
    341,465.16x = 512,149.23 × 187,638.87
  4. Step 4: Simplify right side
    341,465.16x = 96,099,102,788.57
  5. Step 5: Solve for x
    x = 96,099,102,788.57/341,465.16
  6. Step 6: Final answer
    x = 281,431.65

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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.