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Finding the Fourth Proportional to 510,846.35, 766,269.72 and 210,997.40

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Solution

The fourth proportional to 510,846.35, 766,269.72 and 210,997.40 is: 316,496.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,846.35 : 766,269.72 = 210,997.40 : x
  2. Step 2: Convert to fraction form
    510,846.35/766,269.72 = 210,997.40/x
  3. Step 3: Cross multiply
    510,846.35x = 766,269.72 × 210,997.40
  4. Step 4: Simplify right side
    510,846.35x = 161,680,914,787.38
  5. Step 5: Solve for x
    x = 161,680,914,787.38/510,846.35
  6. Step 6: Final answer
    x = 316,496.18

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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.