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Finding the Fourth Proportional to 343,419.30, 514,144.80 and 333,577.80

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Solution

The fourth proportional to 343,419.30, 514,144.80 and 333,577.80 is: 499,410.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,419.30 : 514,144.80 = 333,577.80 : x
  2. Step 2: Convert to fraction form
    343,419.30/514,144.80 = 333,577.80/x
  3. Step 3: Cross multiply
    343,419.30x = 514,144.80 × 333,577.80
  4. Step 4: Simplify right side
    343,419.30x = 171,507,291,265.44
  5. Step 5: Solve for x
    x = 171,507,291,265.44/343,419.30
  6. Step 6: Final answer
    x = 499,410.75

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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.