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Finding the Fourth Proportional to 490,574.52, 676,488.78 and 409,971.96

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Solution

The fourth proportional to 490,574.52, 676,488.78 and 409,971.96 is: 565,340.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,574.52 : 676,488.78 = 409,971.96 : x
  2. Step 2: Convert to fraction form
    490,574.52/676,488.78 = 409,971.96/x
  3. Step 3: Cross multiply
    490,574.52x = 676,488.78 × 409,971.96
  4. Step 4: Simplify right side
    490,574.52x = 277,341,431,054.61
  5. Step 5: Solve for x
    x = 277,341,431,054.61/490,574.52
  6. Step 6: Final answer
    x = 565,340.07

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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.