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Finding the Fourth Proportional to 613,388,905.20, 920,083,357.80 and 368,500,892.40

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Solution

The fourth proportional to 613,388,905.20, 920,083,357.80 and 368,500,892.40 is: 552,751,338.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,388,905.20 : 920,083,357.80 = 368,500,892.40 : x
  2. Step 2: Convert to fraction form
    613,388,905.20/920,083,357.80 = 368,500,892.40/x
  3. Step 3: Cross multiply
    613,388,905.20x = 920,083,357.80 × 368,500,892.40
  4. Step 4: Simplify right side
    613,388,905.20x = 339,051,538,431,688,448
  5. Step 5: Solve for x
    x = 339,051,538,431,688,448/613,388,905.20
  6. Step 6: Final answer
    x = 552,751,338.60

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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.