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Finding the Fourth Proportional to 398,608,800.30, 597,913,200.45 and 111,394,464.30

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Solution

The fourth proportional to 398,608,800.30, 597,913,200.45 and 111,394,464.30 is: 167,091,696.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,608,800.30 : 597,913,200.45 = 111,394,464.30 : x
  2. Step 2: Convert to fraction form
    398,608,800.30/597,913,200.45 = 111,394,464.30/x
  3. Step 3: Cross multiply
    398,608,800.30x = 597,913,200.45 × 111,394,464.30
  4. Step 4: Simplify right side
    398,608,800.30x = 66,604,220,662,026,272
  5. Step 5: Solve for x
    x = 66,604,220,662,026,272/398,608,800.30
  6. Step 6: Final answer
    x = 167,091,696.45

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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.