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Finding the Fourth Proportional to 490,354.96, 735,574.74 and 135,369.04

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Solution

The fourth proportional to 490,354.96, 735,574.74 and 135,369.04 is: 203,065.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,354.96 : 735,574.74 = 135,369.04 : x
  2. Step 2: Convert to fraction form
    490,354.96/735,574.74 = 135,369.04/x
  3. Step 3: Cross multiply
    490,354.96x = 735,574.74 × 135,369.04
  4. Step 4: Simplify right side
    490,354.96x = 99,574,046,402.05
  5. Step 5: Solve for x
    x = 99,574,046,402.05/490,354.96
  6. Step 6: Final answer
    x = 203,065.24

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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.