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Finding the Fourth Proportional to 298,713.48, 411,996.96 and 203,058.96

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Solution

The fourth proportional to 298,713.48, 411,996.96 and 203,058.96 is: 280,066.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,713.48 : 411,996.96 = 203,058.96 : x
  2. Step 2: Convert to fraction form
    298,713.48/411,996.96 = 203,058.96/x
  3. Step 3: Cross multiply
    298,713.48x = 411,996.96 × 203,058.96
  4. Step 4: Simplify right side
    298,713.48x = 83,659,674,220.76
  5. Step 5: Solve for x
    x = 83,659,674,220.76/298,713.48
  6. Step 6: Final answer
    x = 280,066.62

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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.