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Finding the Fourth Proportional to 371,267.88, 512,350.16 and 201,502

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Solution

The fourth proportional to 371,267.88, 512,350.16 and 201,502 is: 278,073.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,267.88 : 512,350.16 = 201,502 : x
  2. Step 2: Convert to fraction form
    371,267.88/512,350.16 = 201,502/x
  3. Step 3: Cross multiply
    371,267.88x = 512,350.16 × 201,502
  4. Step 4: Simplify right side
    371,267.88x = 103,239,581,940.32
  5. Step 5: Solve for x
    x = 103,239,581,940.32/371,267.88
  6. Step 6: Final answer
    x = 278,073.02

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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.