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Finding the Fourth Proportional to 388,608,338.40, 582,912,507.60 and 101,394,002.40

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Solution

The fourth proportional to 388,608,338.40, 582,912,507.60 and 101,394,002.40 is: 152,091,003.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,608,338.40 : 582,912,507.60 = 101,394,002.40 : x
  2. Step 2: Convert to fraction form
    388,608,338.40/582,912,507.60 = 101,394,002.40/x
  3. Step 3: Cross multiply
    388,608,338.40x = 582,912,507.60 × 101,394,002.40
  4. Step 4: Simplify right side
    388,608,338.40x = 59,103,832,194,584,424
  5. Step 5: Solve for x
    x = 59,103,832,194,584,424/388,608,338.40
  6. Step 6: Final answer
    x = 152,091,003.60

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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.