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Finding the Fourth Proportional to 409,993,795.80, 614,990,693.70 and 378,426,200.40

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Solution

The fourth proportional to 409,993,795.80, 614,990,693.70 and 378,426,200.40 is: 567,639,300.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,993,795.80 : 614,990,693.70 = 378,426,200.40 : x
  2. Step 2: Convert to fraction form
    409,993,795.80/614,990,693.70 = 378,426,200.40/x
  3. Step 3: Cross multiply
    409,993,795.80x = 614,990,693.70 × 378,426,200.40
  4. Step 4: Simplify right side
    409,993,795.80x = 232,728,591,498,251,232
  5. Step 5: Solve for x
    x = 232,728,591,498,251,232/409,993,795.80
  6. Step 6: Final answer
    x = 567,639,300.60

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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.