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Finding the Fourth Proportional to 402,504.82, 554,871.32 and 281,269.82

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Solution

The fourth proportional to 402,504.82, 554,871.32 and 281,269.82 is: 387,743.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,504.82 : 554,871.32 = 281,269.82 : x
  2. Step 2: Convert to fraction form
    402,504.82/554,871.32 = 281,269.82/x
  3. Step 3: Cross multiply
    402,504.82x = 554,871.32 × 281,269.82
  4. Step 4: Simplify right side
    402,504.82x = 156,068,556,299.56
  5. Step 5: Solve for x
    x = 156,068,556,299.56/402,504.82
  6. Step 6: Final answer
    x = 387,743.32

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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.