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Finding the Fourth Proportional to 389,188.64, 537,059.46 and 219,411.82

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Solution

The fourth proportional to 389,188.64, 537,059.46 and 219,411.82 is: 302,776.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,188.64 : 537,059.46 = 219,411.82 : x
  2. Step 2: Convert to fraction form
    389,188.64/537,059.46 = 219,411.82/x
  3. Step 3: Cross multiply
    389,188.64x = 537,059.46 × 219,411.82
  4. Step 4: Simplify right side
    389,188.64x = 117,837,193,566.82
  5. Step 5: Solve for x
    x = 117,837,193,566.82/389,188.64
  6. Step 6: Final answer
    x = 302,776.55

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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.