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Finding the Fourth Proportional to 527,362.48, 727,722.43 and 309,580

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Solution

The fourth proportional to 527,362.48, 727,722.43 and 309,580 is: 427,198.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,362.48 : 727,722.43 = 309,580 : x
  2. Step 2: Convert to fraction form
    527,362.48/727,722.43 = 309,580/x
  3. Step 3: Cross multiply
    527,362.48x = 727,722.43 × 309,580
  4. Step 4: Simplify right side
    527,362.48x = 225,288,309,879.40
  5. Step 5: Solve for x
    x = 225,288,309,879.40/527,362.48
  6. Step 6: Final answer
    x = 427,198.21

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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.