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Finding the Fourth Proportional to 383,440.56, 575,164.50 and 102,957.81

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Solution

The fourth proportional to 383,440.56, 575,164.50 and 102,957.81 is: 154,437.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,440.56 : 575,164.50 = 102,957.81 : x
  2. Step 2: Convert to fraction form
    383,440.56/575,164.50 = 102,957.81/x
  3. Step 3: Cross multiply
    383,440.56x = 575,164.50 × 102,957.81
  4. Step 4: Simplify right side
    383,440.56x = 59,217,677,309.75
  5. Step 5: Solve for x
    x = 59,217,677,309.75/383,440.56
  6. Step 6: Final answer
    x = 154,437.70

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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.