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Finding the Fourth Proportional to 695,965.25, 960,415.71 and 409,503.89

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Solution

The fourth proportional to 695,965.25, 960,415.71 and 409,503.89 is: 565,105.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,965.25 : 960,415.71 = 409,503.89 : x
  2. Step 2: Convert to fraction form
    695,965.25/960,415.71 = 409,503.89/x
  3. Step 3: Cross multiply
    695,965.25x = 960,415.71 × 409,503.89
  4. Step 4: Simplify right side
    695,965.25x = 393,293,969,262.11
  5. Step 5: Solve for x
    x = 393,293,969,262.11/695,965.25
  6. Step 6: Final answer
    x = 565,105.76

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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.