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Finding the Fourth Proportional to 398,662,215.40, 597,993,323.10 and 291,166,791.40

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Solution

The fourth proportional to 398,662,215.40, 597,993,323.10 and 291,166,791.40 is: 436,750,187.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,662,215.40 : 597,993,323.10 = 291,166,791.40 : x
  2. Step 2: Convert to fraction form
    398,662,215.40/597,993,323.10 = 291,166,791.40/x
  3. Step 3: Cross multiply
    398,662,215.40x = 597,993,323.10 × 291,166,791.40
  4. Step 4: Simplify right side
    398,662,215.40x = 174,115,797,165,650,496
  5. Step 5: Solve for x
    x = 174,115,797,165,650,496/398,662,215.40
  6. Step 6: Final answer
    x = 436,750,187.10

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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.