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Finding the Fourth Proportional to 651,724,987.20, 978,721,221.60 and 345,614,971.20

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Solution

The fourth proportional to 651,724,987.20, 978,721,221.60 and 345,614,971.20 is: 519,023,688.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,724,987.20 : 978,721,221.60 = 345,614,971.20 : x
  2. Step 2: Convert to fraction form
    651,724,987.20/978,721,221.60 = 345,614,971.20/x
  3. Step 3: Cross multiply
    651,724,987.20x = 978,721,221.60 × 345,614,971.20
  4. Step 4: Simplify right side
    651,724,987.20x = 338,260,706,816,112,832
  5. Step 5: Solve for x
    x = 338,260,706,816,112,832/651,724,987.20
  6. Step 6: Final answer
    x = 519,023,688.61

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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.