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Finding the Fourth Proportional to 385,804.68, 532,404.66 and 213,722.10

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Solution

The fourth proportional to 385,804.68, 532,404.66 and 213,722.10 is: 294,933.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,804.68 : 532,404.66 = 213,722.10 : x
  2. Step 2: Convert to fraction form
    385,804.68/532,404.66 = 213,722.10/x
  3. Step 3: Cross multiply
    385,804.68x = 532,404.66 × 213,722.10
  4. Step 4: Simplify right side
    385,804.68x = 113,786,641,984.99
  5. Step 5: Solve for x
    x = 113,786,641,984.99/385,804.68
  6. Step 6: Final answer
    x = 294,933.29

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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.