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Finding the Fourth Proportional to 664,348.41, 916,800.89 and 409,847.49

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Solution

The fourth proportional to 664,348.41, 916,800.89 and 409,847.49 is: 565,589.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,348.41 : 916,800.89 = 409,847.49 : x
  2. Step 2: Convert to fraction form
    664,348.41/916,800.89 = 409,847.49/x
  3. Step 3: Cross multiply
    664,348.41x = 916,800.89 × 409,847.49
  4. Step 4: Simplify right side
    664,348.41x = 375,748,541,547.03
  5. Step 5: Solve for x
    x = 375,748,541,547.03/664,348.41
  6. Step 6: Final answer
    x = 565,589.59

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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.