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Finding the Fourth Proportional to 305,052.64, 420,971.44 and 170,916.32

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Solution

The fourth proportional to 305,052.64, 420,971.44 and 170,916.32 is: 235,863.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,052.64 : 420,971.44 = 170,916.32 : x
  2. Step 2: Convert to fraction form
    305,052.64/420,971.44 = 170,916.32/x
  3. Step 3: Cross multiply
    305,052.64x = 420,971.44 × 170,916.32
  4. Step 4: Simplify right side
    305,052.64x = 71,950,889,349.90
  5. Step 5: Solve for x
    x = 71,950,889,349.90/305,052.64
  6. Step 6: Final answer
    x = 235,863.85

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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.