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Finding the Fourth Proportional to 329,493.32, 454,749.36 and 208,645.64

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Solution

The fourth proportional to 329,493.32, 454,749.36 and 208,645.64 is: 287,961.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,493.32 : 454,749.36 = 208,645.64 : x
  2. Step 2: Convert to fraction form
    329,493.32/454,749.36 = 208,645.64/x
  3. Step 3: Cross multiply
    329,493.32x = 454,749.36 × 208,645.64
  4. Step 4: Simplify right side
    329,493.32x = 94,881,471,256.79
  5. Step 5: Solve for x
    x = 94,881,471,256.79/329,493.32
  6. Step 6: Final answer
    x = 287,961.74

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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.