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Finding the Fourth Proportional to 380,831.76, 570,684.60 and 359,530.38

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Solution

The fourth proportional to 380,831.76, 570,684.60 and 359,530.38 is: 538,764.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,831.76 : 570,684.60 = 359,530.38 : x
  2. Step 2: Convert to fraction form
    380,831.76/570,684.60 = 359,530.38/x
  3. Step 3: Cross multiply
    380,831.76x = 570,684.60 × 359,530.38
  4. Step 4: Simplify right side
    380,831.76x = 205,178,451,098.15
  5. Step 5: Solve for x
    x = 205,178,451,098.15/380,831.76
  6. Step 6: Final answer
    x = 538,764.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.