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Finding the Fourth Proportional to 389,234.88, 537,162.84 and 219,465.36

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Solution

The fourth proportional to 389,234.88, 537,162.84 and 219,465.36 is: 302,872.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,234.88 : 537,162.84 = 219,465.36 : x
  2. Step 2: Convert to fraction form
    389,234.88/537,162.84 = 219,465.36/x
  3. Step 3: Cross multiply
    389,234.88x = 537,162.84 × 219,465.36
  4. Step 4: Simplify right side
    389,234.88x = 117,888,636,059.22
  5. Step 5: Solve for x
    x = 117,888,636,059.22/389,234.88
  6. Step 6: Final answer
    x = 302,872.74

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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.