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Finding the Fourth Proportional to 289,193.22, 433,777.07 and 78,831.16

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Solution

The fourth proportional to 289,193.22, 433,777.07 and 78,831.16 is: 118,243.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,193.22 : 433,777.07 = 78,831.16 : x
  2. Step 2: Convert to fraction form
    289,193.22/433,777.07 = 78,831.16/x
  3. Step 3: Cross multiply
    289,193.22x = 433,777.07 × 78,831.16
  4. Step 4: Simplify right side
    289,193.22x = 34,195,148,722.14
  5. Step 5: Solve for x
    x = 34,195,148,722.14/289,193.22
  6. Step 6: Final answer
    x = 118,243.26

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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.