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Finding the Fourth Proportional to 405,202.41, 607,838.13 and 120,874.64

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Solution

The fourth proportional to 405,202.41, 607,838.13 and 120,874.64 is: 181,322.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,202.41 : 607,838.13 = 120,874.64 : x
  2. Step 2: Convert to fraction form
    405,202.41/607,838.13 = 120,874.64/x
  3. Step 3: Cross multiply
    405,202.41x = 607,838.13 × 120,874.64
  4. Step 4: Simplify right side
    405,202.41x = 73,472,212,102.83
  5. Step 5: Solve for x
    x = 73,472,212,102.83/405,202.41
  6. Step 6: Final answer
    x = 181,322.25

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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.