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Finding the Fourth Proportional to 218,831.14, 328,025.11 and 147,578.68

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Solution

The fourth proportional to 218,831.14, 328,025.11 and 147,578.68 is: 221,218.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,831.14 : 328,025.11 = 147,578.68 : x
  2. Step 2: Convert to fraction form
    218,831.14/328,025.11 = 147,578.68/x
  3. Step 3: Cross multiply
    218,831.14x = 328,025.11 × 147,578.68
  4. Step 4: Simplify right side
    218,831.14x = 48,409,512,740.65
  5. Step 5: Solve for x
    x = 48,409,512,740.65/218,831.14
  6. Step 6: Final answer
    x = 221,218.57

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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.