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Finding the Fourth Proportional to 329,491.32, 454,746.60 and 208,643.64

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Solution

The fourth proportional to 329,491.32, 454,746.60 and 208,643.64 is: 287,958.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,491.32 : 454,746.60 = 208,643.64 : x
  2. Step 2: Convert to fraction form
    329,491.32/454,746.60 = 208,643.64/x
  3. Step 3: Cross multiply
    329,491.32x = 454,746.60 × 208,643.64
  4. Step 4: Simplify right side
    329,491.32x = 94,879,985,901.62
  5. Step 5: Solve for x
    x = 94,879,985,901.62/329,491.32
  6. Step 6: Final answer
    x = 287,958.98

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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.