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Finding the Fourth Proportional to 299,269,346.40, 448,008,224.40 and 267,020,719.20

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Solution

The fourth proportional to 299,269,346.40, 448,008,224.40 and 267,020,719.20 is: 399,731,812.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,269,346.40 : 448,008,224.40 = 267,020,719.20 : x
  2. Step 2: Convert to fraction form
    299,269,346.40/448,008,224.40 = 267,020,719.20/x
  3. Step 3: Cross multiply
    299,269,346.40x = 448,008,224.40 × 267,020,719.20
  4. Step 4: Simplify right side
    299,269,346.40x = 119,627,478,286,802,976
  5. Step 5: Solve for x
    x = 119,627,478,286,802,976/299,269,346.40
  6. Step 6: Final answer
    x = 399,731,812.58

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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.