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Finding the Fourth Proportional to 664,350.41, 916,803.65 and 409,849.49

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Solution

The fourth proportional to 664,350.41, 916,803.65 and 409,849.49 is: 565,592.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,350.41 : 916,803.65 = 409,849.49 : x
  2. Step 2: Convert to fraction form
    664,350.41/916,803.65 = 409,849.49/x
  3. Step 3: Cross multiply
    664,350.41x = 916,803.65 × 409,849.49
  4. Step 4: Simplify right side
    664,350.41x = 375,751,508,382.64
  5. Step 5: Solve for x
    x = 375,751,508,382.64/664,350.41
  6. Step 6: Final answer
    x = 565,592.35

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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.