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Finding the Fourth Proportional to 490,047.30, 676,338.48 and 299,171.52

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Solution

The fourth proportional to 490,047.30, 676,338.48 and 299,171.52 is: 412,901.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,047.30 : 676,338.48 = 299,171.52 : x
  2. Step 2: Convert to fraction form
    490,047.30/676,338.48 = 299,171.52/x
  3. Step 3: Cross multiply
    490,047.30x = 676,338.48 × 299,171.52
  4. Step 4: Simplify right side
    490,047.30x = 202,341,211,096.09
  5. Step 5: Solve for x
    x = 202,341,211,096.09/490,047.30
  6. Step 6: Final answer
    x = 412,901.39

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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.