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Finding the Fourth Proportional to 389,175.40, 537,061.17 and 219,408.31

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Solution

The fourth proportional to 389,175.40, 537,061.17 and 219,408.31 is: 302,782.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,175.40 : 537,061.17 = 219,408.31 : x
  2. Step 2: Convert to fraction form
    389,175.40/537,061.17 = 219,408.31/x
  3. Step 3: Cross multiply
    389,175.40x = 537,061.17 × 219,408.31
  4. Step 4: Simplify right side
    389,175.40x = 117,835,683,676.32
  5. Step 5: Solve for x
    x = 117,835,683,676.32/389,175.40
  6. Step 6: Final answer
    x = 302,782.97

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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.