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Finding the Fourth Proportional to 429,628.32, 644,435.73 and 105,419.88

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Solution

The fourth proportional to 429,628.32, 644,435.73 and 105,419.88 is: 158,128.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,628.32 : 644,435.73 = 105,419.88 : x
  2. Step 2: Convert to fraction form
    429,628.32/644,435.73 = 105,419.88/x
  3. Step 3: Cross multiply
    429,628.32x = 644,435.73 × 105,419.88
  4. Step 4: Simplify right side
    429,628.32x = 67,936,337,324.31
  5. Step 5: Solve for x
    x = 67,936,337,324.31/429,628.32
  6. Step 6: Final answer
    x = 158,128.16

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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.