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Finding the Fourth Proportional to 258,782.46, 388,173.45 and 116,461.38

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Solution

The fourth proportional to 258,782.46, 388,173.45 and 116,461.38 is: 174,691.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,782.46 : 388,173.45 = 116,461.38 : x
  2. Step 2: Convert to fraction form
    258,782.46/388,173.45 = 116,461.38/x
  3. Step 3: Cross multiply
    258,782.46x = 388,173.45 × 116,461.38
  4. Step 4: Simplify right side
    258,782.46x = 45,207,215,666.36
  5. Step 5: Solve for x
    x = 45,207,215,666.36/258,782.46
  6. Step 6: Final answer
    x = 174,691.96

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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.