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Finding the Fourth Proportional to 402,738.21, 555,863.29 and 255,467.81

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Solution

The fourth proportional to 402,738.21, 555,863.29 and 255,467.81 is: 352,599.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,738.21 : 555,863.29 = 255,467.81 : x
  2. Step 2: Convert to fraction form
    402,738.21/555,863.29 = 255,467.81/x
  3. Step 3: Cross multiply
    402,738.21x = 555,863.29 × 255,467.81
  4. Step 4: Simplify right side
    402,738.21x = 142,005,174,576.38
  5. Step 5: Solve for x
    x = 142,005,174,576.38/402,738.21
  6. Step 6: Final answer
    x = 352,599.21

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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.