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Finding the Fourth Proportional to 343,297.20, 514,945.80 and 202,983.60

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Solution

The fourth proportional to 343,297.20, 514,945.80 and 202,983.60 is: 304,475.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,297.20 : 514,945.80 = 202,983.60 : x
  2. Step 2: Convert to fraction form
    343,297.20/514,945.80 = 202,983.60/x
  3. Step 3: Cross multiply
    343,297.20x = 514,945.80 × 202,983.60
  4. Step 4: Simplify right side
    343,297.20x = 104,525,552,288.88
  5. Step 5: Solve for x
    x = 104,525,552,288.88/343,297.20
  6. Step 6: Final answer
    x = 304,475.40

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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.