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Finding the Fourth Proportional to 272,026.40, 408,039.60 and 205,671.20

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Solution

The fourth proportional to 272,026.40, 408,039.60 and 205,671.20 is: 308,506.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,026.40 : 408,039.60 = 205,671.20 : x
  2. Step 2: Convert to fraction form
    272,026.40/408,039.60 = 205,671.20/x
  3. Step 3: Cross multiply
    272,026.40x = 408,039.60 × 205,671.20
  4. Step 4: Simplify right side
    272,026.40x = 83,921,994,179.52
  5. Step 5: Solve for x
    x = 83,921,994,179.52/272,026.40
  6. Step 6: Final answer
    x = 308,506.80

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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.