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Finding the Fourth Proportional to 354,222.71, 531,071.61 and 213,948.53

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Solution

The fourth proportional to 354,222.71, 531,071.61 and 213,948.53 is: 320,764.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,222.71 : 531,071.61 = 213,948.53 : x
  2. Step 2: Convert to fraction form
    354,222.71/531,071.61 = 213,948.53/x
  3. Step 3: Cross multiply
    354,222.71x = 531,071.61 × 213,948.53
  4. Step 4: Simplify right side
    354,222.71x = 113,621,990,284.23
  5. Step 5: Solve for x
    x = 113,621,990,284.23/354,222.71
  6. Step 6: Final answer
    x = 320,764.27

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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.