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Finding the Fourth Proportional to 313,991.54, 433,123.30 and 197,519.31

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Solution

The fourth proportional to 313,991.54, 433,123.30 and 197,519.31 is: 272,460.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,991.54 : 433,123.30 = 197,519.31 : x
  2. Step 2: Convert to fraction form
    313,991.54/433,123.30 = 197,519.31/x
  3. Step 3: Cross multiply
    313,991.54x = 433,123.30 × 197,519.31
  4. Step 4: Simplify right side
    313,991.54x = 85,550,215,607.82
  5. Step 5: Solve for x
    x = 85,550,215,607.82/313,991.54
  6. Step 6: Final answer
    x = 272,460.26

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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.