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Finding the Fourth Proportional to 389,684, 537,764.28 and 219,914.48

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Solution

The fourth proportional to 389,684, 537,764.28 and 219,914.48 is: 303,482.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,684 : 537,764.28 = 219,914.48 : x
  2. Step 2: Convert to fraction form
    389,684/537,764.28 = 219,914.48/x
  3. Step 3: Cross multiply
    389,684x = 537,764.28 × 219,914.48
  4. Step 4: Simplify right side
    389,684x = 118,262,151,998.77
  5. Step 5: Solve for x
    x = 118,262,151,998.77/389,684
  6. Step 6: Final answer
    x = 303,482.19

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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.