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Finding the Fourth Proportional to 527,509.85, 789,004.17 and 489,220.34

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Solution

The fourth proportional to 527,509.85, 789,004.17 and 489,220.34 is: 731,733.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,509.85 : 789,004.17 = 489,220.34 : x
  2. Step 2: Convert to fraction form
    527,509.85/789,004.17 = 489,220.34/x
  3. Step 3: Cross multiply
    527,509.85x = 789,004.17 × 489,220.34
  4. Step 4: Simplify right side
    527,509.85x = 385,996,890,281.33
  5. Step 5: Solve for x
    x = 385,996,890,281.33/527,509.85
  6. Step 6: Final answer
    x = 731,733.99

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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.