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Finding the Fourth Proportional to 371,604.32, 512,814.12 and 201,842

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Solution

The fourth proportional to 371,604.32, 512,814.12 and 201,842 is: 278,542.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,604.32 : 512,814.12 = 201,842 : x
  2. Step 2: Convert to fraction form
    371,604.32/512,814.12 = 201,842/x
  3. Step 3: Cross multiply
    371,604.32x = 512,814.12 × 201,842
  4. Step 4: Simplify right side
    371,604.32x = 103,507,427,609.04
  5. Step 5: Solve for x
    x = 103,507,427,609.04/371,604.32
  6. Step 6: Final answer
    x = 278,542.05

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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.