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Finding the Fourth Proportional to 490,275.21, 735,392.76 and 135,280.15

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Solution

The fourth proportional to 490,275.21, 735,392.76 and 135,280.15 is: 202,914.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,275.21 : 735,392.76 = 135,280.15 : x
  2. Step 2: Convert to fraction form
    490,275.21/735,392.76 = 135,280.15/x
  3. Step 3: Cross multiply
    490,275.21x = 735,392.76 × 135,280.15
  4. Step 4: Simplify right side
    490,275.21x = 99,484,043,174.94
  5. Step 5: Solve for x
    x = 99,484,043,174.94/490,275.21
  6. Step 6: Final answer
    x = 202,914.69

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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.