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Finding the Fourth Proportional to 385,814.40, 532,404.48 and 213,722.88

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Solution

The fourth proportional to 385,814.40, 532,404.48 and 213,722.88 is: 294,926.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,814.40 : 532,404.48 = 213,722.88 : x
  2. Step 2: Convert to fraction form
    385,814.40/532,404.48 = 213,722.88/x
  3. Step 3: Cross multiply
    385,814.40x = 532,404.48 × 213,722.88
  4. Step 4: Simplify right side
    385,814.40x = 113,787,018,790.50
  5. Step 5: Solve for x
    x = 113,787,018,790.50/385,814.40
  6. Step 6: Final answer
    x = 294,926.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.