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Finding the Fourth Proportional to 281,851.65, 422,748.32 and 265,405.41

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Solution

The fourth proportional to 281,851.65, 422,748.32 and 265,405.41 is: 398,080.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,851.65 : 422,748.32 = 265,405.41 : x
  2. Step 2: Convert to fraction form
    281,851.65/422,748.32 = 265,405.41/x
  3. Step 3: Cross multiply
    281,851.65x = 422,748.32 × 265,405.41
  4. Step 4: Simplify right side
    281,851.65x = 112,199,689,869.38
  5. Step 5: Solve for x
    x = 112,199,689,869.38/281,851.65
  6. Step 6: Final answer
    x = 398,080.66

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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.