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Finding the Fourth Proportional to 383,434.56, 575,155.49 and 102,951.81

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Solution

The fourth proportional to 383,434.56, 575,155.49 and 102,951.81 is: 154,428.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,434.56 : 575,155.49 = 102,951.81 : x
  2. Step 2: Convert to fraction form
    383,434.56/575,155.49 = 102,951.81/x
  3. Step 3: Cross multiply
    383,434.56x = 575,155.49 × 102,951.81
  4. Step 4: Simplify right side
    383,434.56x = 59,213,298,212.18
  5. Step 5: Solve for x
    x = 59,213,298,212.18/383,434.56
  6. Step 6: Final answer
    x = 154,428.69

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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.