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Finding the Fourth Proportional to 490,703.28, 677,684.58 and 338,138.16

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Solution

The fourth proportional to 490,703.28, 677,684.58 and 338,138.16 is: 466,984.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,703.28 : 677,684.58 = 338,138.16 : x
  2. Step 2: Convert to fraction form
    490,703.28/677,684.58 = 338,138.16/x
  3. Step 3: Cross multiply
    490,703.28x = 677,684.58 × 338,138.16
  4. Step 4: Simplify right side
    490,703.28x = 229,151,016,941.57
  5. Step 5: Solve for x
    x = 229,151,016,941.57/490,703.28
  6. Step 6: Final answer
    x = 466,984.89

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1.5x scale

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.