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Finding the Fourth Proportional to 490,529.10, 735,793.98 and 135,543.47

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Solution

The fourth proportional to 490,529.10, 735,793.98 and 135,543.47 is: 203,315.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,529.10 : 735,793.98 = 135,543.47 : x
  2. Step 2: Convert to fraction form
    490,529.10/735,793.98 = 135,543.47/x
  3. Step 3: Cross multiply
    490,529.10x = 735,793.98 × 135,543.47
  4. Step 4: Simplify right side
    490,529.10x = 99,732,065,575.34
  5. Step 5: Solve for x
    x = 99,732,065,575.34/490,529.10
  6. Step 6: Final answer
    x = 203,315.29

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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.