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Finding the Fourth Proportional to 490,042.40, 734,890.80 and 174,509.60

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Solution

The fourth proportional to 490,042.40, 734,890.80 and 174,509.60 is: 261,702.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,042.40 : 734,890.80 = 174,509.60 : x
  2. Step 2: Convert to fraction form
    490,042.40/734,890.80 = 174,509.60/x
  3. Step 3: Cross multiply
    490,042.40x = 734,890.80 × 174,509.60
  4. Step 4: Simplify right side
    490,042.40x = 128,245,499,551.68
  5. Step 5: Solve for x
    x = 128,245,499,551.68/490,042.40
  6. Step 6: Final answer
    x = 261,702.86

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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.