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Finding the Fourth Proportional to 305,905.16, 422,502.36 and 203,762.36

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Solution

The fourth proportional to 305,905.16, 422,502.36 and 203,762.36 is: 281,427.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,905.16 : 422,502.36 = 203,762.36 : x
  2. Step 2: Convert to fraction form
    305,905.16/422,502.36 = 203,762.36/x
  3. Step 3: Cross multiply
    305,905.16x = 422,502.36 × 203,762.36
  4. Step 4: Simplify right side
    305,905.16x = 86,090,077,979.17
  5. Step 5: Solve for x
    x = 86,090,077,979.17/305,905.16
  6. Step 6: Final answer
    x = 281,427.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.