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Finding the Fourth Proportional to 281,418.72, 421,458 and 162,840.16

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Solution

The fourth proportional to 281,418.72, 421,458 and 162,840.16 is: 243,872.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,418.72 : 421,458 = 162,840.16 : x
  2. Step 2: Convert to fraction form
    281,418.72/421,458 = 162,840.16/x
  3. Step 3: Cross multiply
    281,418.72x = 421,458 × 162,840.16
  4. Step 4: Simplify right side
    281,418.72x = 68,630,288,153.28
  5. Step 5: Solve for x
    x = 68,630,288,153.28/281,418.72
  6. Step 6: Final answer
    x = 243,872.50

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1.5x scale

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.