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Finding the Fourth Proportional to 410,988, 616,482 and 115,500

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Solution

The fourth proportional to 410,988, 616,482 and 115,500 is: 173,250

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,988 : 616,482 = 115,500 : x
  2. Step 2: Convert to fraction form
    410,988/616,482 = 115,500/x
  3. Step 3: Cross multiply
    410,988x = 616,482 × 115,500
  4. Step 4: Simplify right side
    410,988x = 71,203,671,000
  5. Step 5: Solve for x
    x = 71,203,671,000/410,988
  6. Step 6: Final answer
    x = 173,250

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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.