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Finding the Fourth Proportional to 503,831.94, 695,351.64 and 288,967.38

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Solution

The fourth proportional to 503,831.94, 695,351.64 and 288,967.38 is: 398,811.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,831.94 : 695,351.64 = 288,967.38 : x
  2. Step 2: Convert to fraction form
    503,831.94/695,351.64 = 288,967.38/x
  3. Step 3: Cross multiply
    503,831.94x = 695,351.64 × 288,967.38
  4. Step 4: Simplify right side
    503,831.94x = 200,933,941,589.50
  5. Step 5: Solve for x
    x = 200,933,941,589.50/503,831.94
  6. Step 6: Final answer
    x = 398,811.44

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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.