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Finding the Fourth Proportional to 414,079,648.80, 620,591,968.80 and 220,084,000.80

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Solution

The fourth proportional to 414,079,648.80, 620,591,968.80 and 220,084,000.80 is: 329,845,631.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,079,648.80 : 620,591,968.80 = 220,084,000.80 : x
  2. Step 2: Convert to fraction form
    414,079,648.80/620,591,968.80 = 220,084,000.80/x
  3. Step 3: Cross multiply
    414,079,648.80x = 620,591,968.80 × 220,084,000.80
  4. Step 4: Simplify right side
    414,079,648.80x = 136,582,363,357,852,768
  5. Step 5: Solve for x
    x = 136,582,363,357,852,768/414,079,648.80
  6. Step 6: Final answer
    x = 329,845,631.76

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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.