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Finding the Fourth Proportional to 361,888.40, 499,396.34 and 208,921.43

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Solution

The fourth proportional to 361,888.40, 499,396.34 and 208,921.43 is: 288,306.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,888.40 : 499,396.34 = 208,921.43 : x
  2. Step 2: Convert to fraction form
    361,888.40/499,396.34 = 208,921.43/x
  3. Step 3: Cross multiply
    361,888.40x = 499,396.34 × 208,921.43
  4. Step 4: Simplify right side
    361,888.40x = 104,334,599,260.36
  5. Step 5: Solve for x
    x = 104,334,599,260.36/361,888.40
  6. Step 6: Final answer
    x = 288,306.00

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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.