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Finding the Fourth Proportional to 258,880.86, 388,244.34 and 116,644.05

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Solution

The fourth proportional to 258,880.86, 388,244.34 and 116,644.05 is: 174,931.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,880.86 : 388,244.34 = 116,644.05 : x
  2. Step 2: Convert to fraction form
    258,880.86/388,244.34 = 116,644.05/x
  3. Step 3: Cross multiply
    258,880.86x = 388,244.34 × 116,644.05
  4. Step 4: Simplify right side
    258,880.86x = 45,286,392,207.18
  5. Step 5: Solve for x
    x = 45,286,392,207.18/258,880.86
  6. Step 6: Final answer
    x = 174,931.40

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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.