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Finding the Fourth Proportional to 238,299.74, 328,855.91 and 130,872

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Solution

The fourth proportional to 238,299.74, 328,855.91 and 130,872 is: 180,604.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,299.74 : 328,855.91 = 130,872 : x
  2. Step 2: Convert to fraction form
    238,299.74/328,855.91 = 130,872/x
  3. Step 3: Cross multiply
    238,299.74x = 328,855.91 × 130,872
  4. Step 4: Simplify right side
    238,299.74x = 43,038,029,999.16
  5. Step 5: Solve for x
    x = 43,038,029,999.16/238,299.74
  6. Step 6: Final answer
    x = 180,604.61

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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.