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Finding the Fourth Proportional to 389,172.08, 537,050.31 and 219,406.34

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Solution

The fourth proportional to 389,172.08, 537,050.31 and 219,406.34 is: 302,776.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,172.08 : 537,050.31 = 219,406.34 : x
  2. Step 2: Convert to fraction form
    389,172.08/537,050.31 = 219,406.34/x
  3. Step 3: Cross multiply
    389,172.08x = 537,050.31 × 219,406.34
  4. Step 4: Simplify right side
    389,172.08x = 117,832,242,912.97
  5. Step 5: Solve for x
    x = 117,832,242,912.97/389,172.08
  6. Step 6: Final answer
    x = 302,776.71

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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.