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Finding the Fourth Proportional to 299,073,728.40, 447,854,765.40 and 238,607,552.40

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Solution

The fourth proportional to 299,073,728.40, 447,854,765.40 and 238,607,552.40 is: 357,308,313.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,073,728.40 : 447,854,765.40 = 238,607,552.40 : x
  2. Step 2: Convert to fraction form
    299,073,728.40/447,854,765.40 = 238,607,552.40/x
  3. Step 3: Cross multiply
    299,073,728.40x = 447,854,765.40 × 238,607,552.40
  4. Step 4: Simplify right side
    299,073,728.40x = 106,861,529,402,770,208
  5. Step 5: Solve for x
    x = 106,861,529,402,770,208/299,073,728.40
  6. Step 6: Final answer
    x = 357,308,313.15

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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.