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Finding the Fourth Proportional to 407,377.20, 610,696.40 and 220,170

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Solution

The fourth proportional to 407,377.20, 610,696.40 and 220,170 is: 330,055.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,377.20 : 610,696.40 = 220,170 : x
  2. Step 2: Convert to fraction form
    407,377.20/610,696.40 = 220,170/x
  3. Step 3: Cross multiply
    407,377.20x = 610,696.40 × 220,170
  4. Step 4: Simplify right side
    407,377.20x = 134,457,026,388
  5. Step 5: Solve for x
    x = 134,457,026,388/407,377.20
  6. Step 6: Final answer
    x = 330,055.36

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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.