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Finding the Fourth Proportional to 402,633.70, 603,507.69 and 165,847.21

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Solution

The fourth proportional to 402,633.70, 603,507.69 and 165,847.21 is: 248,588.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,633.70 : 603,507.69 = 165,847.21 : x
  2. Step 2: Convert to fraction form
    402,633.70/603,507.69 = 165,847.21/x
  3. Step 3: Cross multiply
    402,633.70x = 603,507.69 × 165,847.21
  4. Step 4: Simplify right side
    402,633.70x = 100,090,066,600.05
  5. Step 5: Solve for x
    x = 100,090,066,600.05/402,633.70
  6. Step 6: Final answer
    x = 248,588.40

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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.