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Finding the Fourth Proportional to 587,914.64, 811,317 and 319,642.64

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Solution

The fourth proportional to 587,914.64, 811,317 and 319,642.64 is: 441,104.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,914.64 : 811,317 = 319,642.64 : x
  2. Step 2: Convert to fraction form
    587,914.64/811,317 = 319,642.64/x
  3. Step 3: Cross multiply
    587,914.64x = 811,317 × 319,642.64
  4. Step 4: Simplify right side
    587,914.64x = 259,331,507,756.88
  5. Step 5: Solve for x
    x = 259,331,507,756.88/587,914.64
  6. Step 6: Final answer
    x = 441,104.01

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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.