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Finding the Fourth Proportional to 398,661,920.40, 597,992,880.60 and 291,166,496.40

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Solution

The fourth proportional to 398,661,920.40, 597,992,880.60 and 291,166,496.40 is: 436,749,744.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,661,920.40 : 597,992,880.60 = 291,166,496.40 : x
  2. Step 2: Convert to fraction form
    398,661,920.40/597,992,880.60 = 291,166,496.40/x
  3. Step 3: Cross multiply
    398,661,920.40x = 597,992,880.60 × 291,166,496.40
  4. Step 4: Simplify right side
    398,661,920.40x = 174,115,491,916,445,536
  5. Step 5: Solve for x
    x = 174,115,491,916,445,536/398,661,920.40
  6. Step 6: Final answer
    x = 436,749,744.60

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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.