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Finding the Fourth Proportional to 509,935,856.40, 764,903,784.60 and 398,970,975.60

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Solution

The fourth proportional to 509,935,856.40, 764,903,784.60 and 398,970,975.60 is: 598,456,463.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,935,856.40 : 764,903,784.60 = 398,970,975.60 : x
  2. Step 2: Convert to fraction form
    509,935,856.40/764,903,784.60 = 398,970,975.60/x
  3. Step 3: Cross multiply
    509,935,856.40x = 764,903,784.60 × 398,970,975.60
  4. Step 4: Simplify right side
    509,935,856.40x = 305,174,409,181,994,304
  5. Step 5: Solve for x
    x = 305,174,409,181,994,304/509,935,856.40
  6. Step 6: Final answer
    x = 598,456,463.40

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Double scale
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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.