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Finding the Fourth Proportional to 383,419.10, 575,128.65 and 102,964.70

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Solution

The fourth proportional to 383,419.10, 575,128.65 and 102,964.70 is: 154,447.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,419.10 : 575,128.65 = 102,964.70 : x
  2. Step 2: Convert to fraction form
    383,419.10/575,128.65 = 102,964.70/x
  3. Step 3: Cross multiply
    383,419.10x = 575,128.65 × 102,964.70
  4. Step 4: Simplify right side
    383,419.10x = 59,217,948,908.66
  5. Step 5: Solve for x
    x = 59,217,948,908.66/383,419.10
  6. Step 6: Final answer
    x = 154,447.05

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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.