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Finding the Fourth Proportional to 490,608.64, 677,102.52 and 299,581.84

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Solution

The fourth proportional to 490,608.64, 677,102.52 and 299,581.84 is: 413,461.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,608.64 : 677,102.52 = 299,581.84 : x
  2. Step 2: Convert to fraction form
    490,608.64/677,102.52 = 299,581.84/x
  3. Step 3: Cross multiply
    490,608.64x = 677,102.52 × 299,581.84
  4. Step 4: Simplify right side
    490,608.64x = 202,847,618,810.24
  5. Step 5: Solve for x
    x = 202,847,618,810.24/490,608.64
  6. Step 6: Final answer
    x = 413,461.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.