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Finding the Fourth Proportional to 403,078.16, 604,850.88 and 203,414.16

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Solution

The fourth proportional to 403,078.16, 604,850.88 and 203,414.16 is: 305,239.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,078.16 : 604,850.88 = 203,414.16 : x
  2. Step 2: Convert to fraction form
    403,078.16/604,850.88 = 203,414.16/x
  3. Step 3: Cross multiply
    403,078.16x = 604,850.88 × 203,414.16
  4. Step 4: Simplify right side
    403,078.16x = 123,035,233,680.46
  5. Step 5: Solve for x
    x = 123,035,233,680.46/403,078.16
  6. Step 6: Final answer
    x = 305,239.15

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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.