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Finding the Fourth Proportional to 664,415.36, 916,574.30 and 434,871.59

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Solution

The fourth proportional to 664,415.36, 916,574.30 and 434,871.59 is: 599,914.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,415.36 : 916,574.30 = 434,871.59 : x
  2. Step 2: Convert to fraction form
    664,415.36/916,574.30 = 434,871.59/x
  3. Step 3: Cross multiply
    664,415.36x = 916,574.30 × 434,871.59
  4. Step 4: Simplify right side
    664,415.36x = 398,592,118,067.68
  5. Step 5: Solve for x
    x = 398,592,118,067.68/664,415.36
  6. Step 6: Final answer
    x = 599,914.06

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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.