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Finding the Fourth Proportional to 389,046.56, 536,888.35 and 219,280.68

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Solution

The fourth proportional to 389,046.56, 536,888.35 and 219,280.68 is: 302,609.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,046.56 : 536,888.35 = 219,280.68 : x
  2. Step 2: Convert to fraction form
    389,046.56/536,888.35 = 219,280.68/x
  3. Step 3: Cross multiply
    389,046.56x = 536,888.35 × 219,280.68
  4. Step 4: Simplify right side
    389,046.56x = 117,729,242,472.08
  5. Step 5: Solve for x
    x = 117,729,242,472.08/389,046.56
  6. Step 6: Final answer
    x = 302,609.65

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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.