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Finding the Fourth Proportional to 389,273.42, 537,197.42 and 219,507.60

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Solution

The fourth proportional to 389,273.42, 537,197.42 and 219,507.60 is: 302,920.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,273.42 : 537,197.42 = 219,507.60 : x
  2. Step 2: Convert to fraction form
    389,273.42/537,197.42 = 219,507.60/x
  3. Step 3: Cross multiply
    389,273.42x = 537,197.42 × 219,507.60
  4. Step 4: Simplify right side
    389,273.42x = 117,918,916,390.39
  5. Step 5: Solve for x
    x = 117,918,916,390.39/389,273.42
  6. Step 6: Final answer
    x = 302,920.54

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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.