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Finding the Fourth Proportional to 309,947,497.60, 464,978,458.33 and 128,208,847.36

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Solution

The fourth proportional to 309,947,497.60, 464,978,458.33 and 128,208,847.36 is: 192,336,936.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,947,497.60 : 464,978,458.33 = 128,208,847.36 : x
  2. Step 2: Convert to fraction form
    309,947,497.60/464,978,458.33 = 128,208,847.36/x
  3. Step 3: Cross multiply
    309,947,497.60x = 464,978,458.33 × 128,208,847.36
  4. Step 4: Simplify right side
    309,947,497.60x = 59,614,352,189,719,088
  5. Step 5: Solve for x
    x = 59,614,352,189,719,088/309,947,497.60
  6. Step 6: Final answer
    x = 192,336,936.58

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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.