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Finding the Fourth Proportional to 329,276.54, 493,816.80 and 139,733.84

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Solution

The fourth proportional to 329,276.54, 493,816.80 and 139,733.84 is: 209,559.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,276.54 : 493,816.80 = 139,733.84 : x
  2. Step 2: Convert to fraction form
    329,276.54/493,816.80 = 139,733.84/x
  3. Step 3: Cross multiply
    329,276.54x = 493,816.80 × 139,733.84
  4. Step 4: Simplify right side
    329,276.54x = 69,002,917,720.51
  5. Step 5: Solve for x
    x = 69,002,917,720.51/329,276.54
  6. Step 6: Final answer
    x = 209,559.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.