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Finding the Fourth Proportional to 418,345.76, 627,533.40 and 133,999.36

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Solution

The fourth proportional to 418,345.76, 627,533.40 and 133,999.36 is: 201,003.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,345.76 : 627,533.40 = 133,999.36 : x
  2. Step 2: Convert to fraction form
    418,345.76/627,533.40 = 133,999.36/x
  3. Step 3: Cross multiply
    418,345.76x = 627,533.40 × 133,999.36
  4. Step 4: Simplify right side
    418,345.76x = 84,089,073,978.62
  5. Step 5: Solve for x
    x = 84,089,073,978.62/418,345.76
  6. Step 6: Final answer
    x = 201,003.77

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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.