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Finding the Fourth Proportional to 354,053.88, 488,596.50 and 210,819.96

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Solution

The fourth proportional to 354,053.88, 488,596.50 and 210,819.96 is: 290,932.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,053.88 : 488,596.50 = 210,819.96 : x
  2. Step 2: Convert to fraction form
    354,053.88/488,596.50 = 210,819.96/x
  3. Step 3: Cross multiply
    354,053.88x = 488,596.50 × 210,819.96
  4. Step 4: Simplify right side
    354,053.88x = 103,005,894,586.14
  5. Step 5: Solve for x
    x = 103,005,894,586.14/354,053.88
  6. Step 6: Final answer
    x = 290,932.82

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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.