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Finding the Fourth Proportional to 380,274.40, 524,782.56 and 210,504.88

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Solution

The fourth proportional to 380,274.40, 524,782.56 and 210,504.88 is: 290,498.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,274.40 : 524,782.56 = 210,504.88 : x
  2. Step 2: Convert to fraction form
    380,274.40/524,782.56 = 210,504.88/x
  3. Step 3: Cross multiply
    380,274.40x = 524,782.56 × 210,504.88
  4. Step 4: Simplify right side
    380,274.40x = 110,469,289,818.89
  5. Step 5: Solve for x
    x = 110,469,289,818.89/380,274.40
  6. Step 6: Final answer
    x = 290,498.89

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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.