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Finding the Fourth Proportional to 314,831.40, 472,203.90 and 104,447.40

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Solution

The fourth proportional to 314,831.40, 472,203.90 and 104,447.40 is: 156,656.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,831.40 : 472,203.90 = 104,447.40 : x
  2. Step 2: Convert to fraction form
    314,831.40/472,203.90 = 104,447.40/x
  3. Step 3: Cross multiply
    314,831.40x = 472,203.90 × 104,447.40
  4. Step 4: Simplify right side
    314,831.40x = 49,320,469,624.86
  5. Step 5: Solve for x
    x = 49,320,469,624.86/314,831.40
  6. Step 6: Final answer
    x = 156,656.77

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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.