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Finding the Fourth Proportional to 272,214.94, 408,405.30 and 139,188.64

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Solution

The fourth proportional to 272,214.94, 408,405.30 and 139,188.64 is: 208,825.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,214.94 : 408,405.30 = 139,188.64 : x
  2. Step 2: Convert to fraction form
    272,214.94/408,405.30 = 139,188.64/x
  3. Step 3: Cross multiply
    272,214.94x = 408,405.30 × 139,188.64
  4. Step 4: Simplify right side
    272,214.94x = 56,845,378,275.79
  5. Step 5: Solve for x
    x = 56,845,378,275.79/272,214.94
  6. Step 6: Final answer
    x = 208,825.34

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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.