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Finding the Fourth Proportional to 371,401.92, 512,534.64 and 201,636.06

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Solution

The fourth proportional to 371,401.92, 512,534.64 and 201,636.06 is: 278,257.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,401.92 : 512,534.64 = 201,636.06 : x
  2. Step 2: Convert to fraction form
    371,401.92/512,534.64 = 201,636.06/x
  3. Step 3: Cross multiply
    371,401.92x = 512,534.64 × 201,636.06
  4. Step 4: Simplify right side
    371,401.92x = 103,345,465,423.12
  5. Step 5: Solve for x
    x = 103,345,465,423.12/371,401.92
  6. Step 6: Final answer
    x = 278,257.76

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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.