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Finding the Fourth Proportional to 510,846.86, 766,270.44 and 210,997.88

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Solution

The fourth proportional to 510,846.86, 766,270.44 and 210,997.88 is: 316,496.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,846.86 : 766,270.44 = 210,997.88 : x
  2. Step 2: Convert to fraction form
    510,846.86/766,270.44 = 210,997.88/x
  3. Step 3: Cross multiply
    510,846.86x = 766,270.44 × 210,997.88
  4. Step 4: Simplify right side
    510,846.86x = 161,681,438,346.67
  5. Step 5: Solve for x
    x = 161,681,438,346.67/510,846.86
  6. Step 6: Final answer
    x = 316,496.88

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Double scale
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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.