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Finding the Fourth Proportional to 353,763.36, 488,074.80 and 210,441.96

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Solution

The fourth proportional to 353,763.36, 488,074.80 and 210,441.96 is: 290,339.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,763.36 : 488,074.80 = 210,441.96 : x
  2. Step 2: Convert to fraction form
    353,763.36/488,074.80 = 210,441.96/x
  3. Step 3: Cross multiply
    353,763.36x = 488,074.80 × 210,441.96
  4. Step 4: Simplify right side
    353,763.36x = 102,711,417,538.61
  5. Step 5: Solve for x
    x = 102,711,417,538.61/353,763.36
  6. Step 6: Final answer
    x = 290,339.33

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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.