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Finding the Fourth Proportional to 329,214.51, 493,724.36 and 139,672.49

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Solution

The fourth proportional to 329,214.51, 493,724.36 and 139,672.49 is: 209,467.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,214.51 : 493,724.36 = 139,672.49 : x
  2. Step 2: Convert to fraction form
    329,214.51/493,724.36 = 139,672.49/x
  3. Step 3: Cross multiply
    329,214.51x = 493,724.36 × 139,672.49
  4. Step 4: Simplify right side
    329,214.51x = 68,959,708,615.42
  5. Step 5: Solve for x
    x = 68,959,708,615.42/329,214.51
  6. Step 6: Final answer
    x = 209,467.40

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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.