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Finding the Fourth Proportional to 389,173.40, 537,058.41 and 219,406.31

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Solution

The fourth proportional to 389,173.40, 537,058.41 and 219,406.31 is: 302,780.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,173.40 : 537,058.41 = 219,406.31 : x
  2. Step 2: Convert to fraction form
    389,173.40/537,058.41 = 219,406.31/x
  3. Step 3: Cross multiply
    389,173.40x = 537,058.41 × 219,406.31
  4. Step 4: Simplify right side
    389,173.40x = 117,834,003,992.57
  5. Step 5: Solve for x
    x = 117,834,003,992.57/389,173.40
  6. Step 6: Final answer
    x = 302,780.21

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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.