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Finding the Fourth Proportional to 515,677.50, 773,827.32 and 220,189.50

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Solution

The fourth proportional to 515,677.50, 773,827.32 and 220,189.50 is: 330,417.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,677.50 : 773,827.32 = 220,189.50 : x
  2. Step 2: Convert to fraction form
    515,677.50/773,827.32 = 220,189.50/x
  3. Step 3: Cross multiply
    515,677.50x = 773,827.32 × 220,189.50
  4. Step 4: Simplify right side
    515,677.50x = 170,388,650,677.14
  5. Step 5: Solve for x
    x = 170,388,650,677.14/515,677.50
  6. Step 6: Final answer
    x = 330,417.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.