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Finding the Fourth Proportional to 489,140.40, 733,710.60 and 223,419.90

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Solution

The fourth proportional to 489,140.40, 733,710.60 and 223,419.90 is: 335,129.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,140.40 : 733,710.60 = 223,419.90 : x
  2. Step 2: Convert to fraction form
    489,140.40/733,710.60 = 223,419.90/x
  3. Step 3: Cross multiply
    489,140.40x = 733,710.60 × 223,419.90
  4. Step 4: Simplify right side
    489,140.40x = 163,925,548,880.94
  5. Step 5: Solve for x
    x = 163,925,548,880.94/489,140.40
  6. Step 6: Final answer
    x = 335,129.85

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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.