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Finding the Fourth Proportional to 281,409.72, 421,444.50 and 162,831.16

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Solution

The fourth proportional to 281,409.72, 421,444.50 and 162,831.16 is: 243,859.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,409.72 : 421,444.50 = 162,831.16 : x
  2. Step 2: Convert to fraction form
    281,409.72/421,444.50 = 162,831.16/x
  3. Step 3: Cross multiply
    281,409.72x = 421,444.50 × 162,831.16
  4. Step 4: Simplify right side
    281,409.72x = 68,624,296,810.62
  5. Step 5: Solve for x
    x = 68,624,296,810.62/281,409.72
  6. Step 6: Final answer
    x = 243,859.01

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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.