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Finding the Fourth Proportional to 490,356.56, 676,809 and 299,530.64

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Solution

The fourth proportional to 490,356.56, 676,809 and 299,530.64 is: 413,423.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,356.56 : 676,809 = 299,530.64 : x
  2. Step 2: Convert to fraction form
    490,356.56/676,809 = 299,530.64/x
  3. Step 3: Cross multiply
    490,356.56x = 676,809 × 299,530.64
  4. Step 4: Simplify right side
    490,356.56x = 202,725,032,927.76
  5. Step 5: Solve for x
    x = 202,725,032,927.76/490,356.56
  6. Step 6: Final answer
    x = 413,423.72

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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.