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Finding the Fourth Proportional to 352,455, 486,304.50 and 199,493.16

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Solution

The fourth proportional to 352,455, 486,304.50 and 199,493.16 is: 275,253.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,455 : 486,304.50 = 199,493.16 : x
  2. Step 2: Convert to fraction form
    352,455/486,304.50 = 199,493.16/x
  3. Step 3: Cross multiply
    352,455x = 486,304.50 × 199,493.16
  4. Step 4: Simplify right side
    352,455x = 97,014,421,427.22
  5. Step 5: Solve for x
    x = 97,014,421,427.22/352,455
  6. Step 6: Final answer
    x = 275,253.36

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1.5x scale

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.