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Finding the Fourth Proportional to 534,863.45, 738,078.10 and 293,128.87

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Solution

The fourth proportional to 534,863.45, 738,078.10 and 293,128.87 is: 404,499.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,863.45 : 738,078.10 = 293,128.87 : x
  2. Step 2: Convert to fraction form
    534,863.45/738,078.10 = 293,128.87/x
  3. Step 3: Cross multiply
    534,863.45x = 738,078.10 × 293,128.87
  4. Step 4: Simplify right side
    534,863.45x = 216,351,999,424.75
  5. Step 5: Solve for x
    x = 216,351,999,424.75/534,863.45
  6. Step 6: Final answer
    x = 404,499.51

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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.