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Finding the Fourth Proportional to 303,177.86, 454,768.14 and 78,522.34

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Solution

The fourth proportional to 303,177.86, 454,768.14 and 78,522.34 is: 117,783.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,177.86 : 454,768.14 = 78,522.34 : x
  2. Step 2: Convert to fraction form
    303,177.86/454,768.14 = 78,522.34/x
  3. Step 3: Cross multiply
    303,177.86x = 454,768.14 × 78,522.34
  4. Step 4: Simplify right side
    303,177.86x = 35,709,457,667.79
  5. Step 5: Solve for x
    x = 35,709,457,667.79/303,177.86
  6. Step 6: Final answer
    x = 117,783.86

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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.