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Finding the Fourth Proportional to 281,071.80, 420,732.90 and 162,390.60

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Solution

The fourth proportional to 281,071.80, 420,732.90 and 162,390.60 is: 243,080.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,071.80 : 420,732.90 = 162,390.60 : x
  2. Step 2: Convert to fraction form
    281,071.80/420,732.90 = 162,390.60/x
  3. Step 3: Cross multiply
    281,071.80x = 420,732.90 × 162,390.60
  4. Step 4: Simplify right side
    281,071.80x = 68,323,068,070.74
  5. Step 5: Solve for x
    x = 68,323,068,070.74/281,071.80
  6. Step 6: Final answer
    x = 243,080.48

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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.