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Finding the Fourth Proportional to 389,411.82, 537,394.50 and 219,649.32

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Solution

The fourth proportional to 389,411.82, 537,394.50 and 219,649.32 is: 303,119.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,411.82 : 537,394.50 = 219,649.32 : x
  2. Step 2: Convert to fraction form
    389,411.82/537,394.50 = 219,649.32/x
  3. Step 3: Cross multiply
    389,411.82x = 537,394.50 × 219,649.32
  4. Step 4: Simplify right side
    389,411.82x = 118,038,336,496.74
  5. Step 5: Solve for x
    x = 118,038,336,496.74/389,411.82
  6. Step 6: Final answer
    x = 303,119.55

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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.