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Finding the Fourth Proportional to 546,780.30, 820,170.45 and 310,584.30

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Solution

The fourth proportional to 546,780.30, 820,170.45 and 310,584.30 is: 465,876.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,780.30 : 820,170.45 = 310,584.30 : x
  2. Step 2: Convert to fraction form
    546,780.30/820,170.45 = 310,584.30/x
  3. Step 3: Cross multiply
    546,780.30x = 820,170.45 × 310,584.30
  4. Step 4: Simplify right side
    546,780.30x = 254,732,065,093.94
  5. Step 5: Solve for x
    x = 254,732,065,093.94/546,780.30
  6. Step 6: Final answer
    x = 465,876.45

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Similar ratio
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1.5x scale

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.