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Finding the Fourth Proportional to 521,926.70, 782,861.13 and 142,820.21

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Solution

The fourth proportional to 521,926.70, 782,861.13 and 142,820.21 is: 214,222.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,926.70 : 782,861.13 = 142,820.21 : x
  2. Step 2: Convert to fraction form
    521,926.70/782,861.13 = 142,820.21/x
  3. Step 3: Cross multiply
    521,926.70x = 782,861.13 × 142,820.21
  4. Step 4: Simplify right side
    521,926.70x = 111,808,387,073.13
  5. Step 5: Solve for x
    x = 111,808,387,073.13/521,926.70
  6. Step 6: Final answer
    x = 214,222.40

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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.