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Finding the Fourth Proportional to 695,963.75, 960,413.64 and 409,502.39

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Solution

The fourth proportional to 695,963.75, 960,413.64 and 409,502.39 is: 565,103.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,963.75 : 960,413.64 = 409,502.39 : x
  2. Step 2: Convert to fraction form
    695,963.75/960,413.64 = 409,502.39/x
  3. Step 3: Cross multiply
    695,963.75x = 960,413.64 × 409,502.39
  4. Step 4: Simplify right side
    695,963.75x = 393,291,680,968.60
  5. Step 5: Solve for x
    x = 393,291,680,968.60/695,963.75
  6. Step 6: Final answer
    x = 565,103.69

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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.