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Finding the Fourth Proportional to 275,855.40, 413,783.10 and 205,871.40

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Solution

The fourth proportional to 275,855.40, 413,783.10 and 205,871.40 is: 308,807.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,855.40 : 413,783.10 = 205,871.40 : x
  2. Step 2: Convert to fraction form
    275,855.40/413,783.10 = 205,871.40/x
  3. Step 3: Cross multiply
    275,855.40x = 413,783.10 × 205,871.40
  4. Step 4: Simplify right side
    275,855.40x = 85,186,106,093.34
  5. Step 5: Solve for x
    x = 85,186,106,093.34/275,855.40
  6. Step 6: Final answer
    x = 308,807.10

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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.