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Finding the Fourth Proportional to 389,202.67, 537,098.75 and 219,435.58

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Solution

The fourth proportional to 389,202.67, 537,098.75 and 219,435.58 is: 302,820.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,202.67 : 537,098.75 = 219,435.58 : x
  2. Step 2: Convert to fraction form
    389,202.67/537,098.75 = 219,435.58/x
  3. Step 3: Cross multiply
    389,202.67x = 537,098.75 × 219,435.58
  4. Step 4: Simplify right side
    389,202.67x = 117,858,574,626.35
  5. Step 5: Solve for x
    x = 117,858,574,626.35/389,202.67
  6. Step 6: Final answer
    x = 302,820.57

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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.