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Finding the Fourth Proportional to 353,947.52, 488,448.24 and 210,712.52

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Solution

The fourth proportional to 353,947.52, 488,448.24 and 210,712.52 is: 290,783.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,947.52 : 488,448.24 = 210,712.52 : x
  2. Step 2: Convert to fraction form
    353,947.52/488,448.24 = 210,712.52/x
  3. Step 3: Cross multiply
    353,947.52x = 488,448.24 × 210,712.52
  4. Step 4: Simplify right side
    353,947.52x = 102,922,159,539.97
  5. Step 5: Solve for x
    x = 102,922,159,539.97/353,947.52
  6. Step 6: Final answer
    x = 290,783.67

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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.