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Finding the Fourth Proportional to 490,060.48, 676,356.60 and 299,184.52

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Solution

The fourth proportional to 490,060.48, 676,356.60 and 299,184.52 is: 412,919.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,060.48 : 676,356.60 = 299,184.52 : x
  2. Step 2: Convert to fraction form
    490,060.48/676,356.60 = 299,184.52/x
  3. Step 3: Cross multiply
    490,060.48x = 676,356.60 × 299,184.52
  4. Step 4: Simplify right side
    490,060.48x = 202,355,424,719.83
  5. Step 5: Solve for x
    x = 202,355,424,719.83/490,060.48
  6. Step 6: Final answer
    x = 412,919.29

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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.