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Finding the Fourth Proportional to 487,998,441.60, 731,997,662.40 and 164,882,313.60

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Solution

The fourth proportional to 487,998,441.60, 731,997,662.40 and 164,882,313.60 is: 247,323,470.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,998,441.60 : 731,997,662.40 = 164,882,313.60 : x
  2. Step 2: Convert to fraction form
    487,998,441.60/731,997,662.40 = 164,882,313.60/x
  3. Step 3: Cross multiply
    487,998,441.60x = 731,997,662.40 × 164,882,313.60
  4. Step 4: Simplify right side
    487,998,441.60x = 120,693,468,126,303,728
  5. Step 5: Solve for x
    x = 120,693,468,126,303,728/487,998,441.60
  6. Step 6: Final answer
    x = 247,323,470.40

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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.