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Finding the Fourth Proportional to 258,715.57, 388,073.45 and 116,394.64

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Solution

The fourth proportional to 258,715.57, 388,073.45 and 116,394.64 is: 174,592.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,715.57 : 388,073.45 = 116,394.64 : x
  2. Step 2: Convert to fraction form
    258,715.57/388,073.45 = 116,394.64/x
  3. Step 3: Cross multiply
    258,715.57x = 388,073.45 × 116,394.64
  4. Step 4: Simplify right side
    258,715.57x = 45,169,669,506.31
  5. Step 5: Solve for x
    x = 45,169,669,506.31/258,715.57
  6. Step 6: Final answer
    x = 174,592.00

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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.