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Finding the Fourth Proportional to 264,627.41, 397,000.64 and 87,128.06

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Solution

The fourth proportional to 264,627.41, 397,000.64 and 87,128.06 is: 130,711.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,627.41 : 397,000.64 = 87,128.06 : x
  2. Step 2: Convert to fraction form
    264,627.41/397,000.64 = 87,128.06/x
  3. Step 3: Cross multiply
    264,627.41x = 397,000.64 × 87,128.06
  4. Step 4: Simplify right side
    264,627.41x = 34,589,893,814.78
  5. Step 5: Solve for x
    x = 34,589,893,814.78/264,627.41
  6. Step 6: Final answer
    x = 130,711.68

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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.