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Finding the Fourth Proportional to 490,315.68, 735,453.54 and 135,320.58

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Solution

The fourth proportional to 490,315.68, 735,453.54 and 135,320.58 is: 202,975.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,315.68 : 735,453.54 = 135,320.58 : x
  2. Step 2: Convert to fraction form
    490,315.68/735,453.54 = 135,320.58/x
  3. Step 3: Cross multiply
    490,315.68x = 735,453.54 × 135,320.58
  4. Step 4: Simplify right side
    490,315.68x = 99,521,999,595.85
  5. Step 5: Solve for x
    x = 99,521,999,595.85/490,315.68
  6. Step 6: Final answer
    x = 202,975.36

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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.