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Finding the Fourth Proportional to 424,645.84, 636,969.24 and 109,105.36

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Solution

The fourth proportional to 424,645.84, 636,969.24 and 109,105.36 is: 163,658.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,645.84 : 636,969.24 = 109,105.36 : x
  2. Step 2: Convert to fraction form
    424,645.84/636,969.24 = 109,105.36/x
  3. Step 3: Cross multiply
    424,645.84x = 636,969.24 × 109,105.36
  4. Step 4: Simplify right side
    424,645.84x = 69,496,758,239.13
  5. Step 5: Solve for x
    x = 69,496,758,239.13/424,645.84
  6. Step 6: Final answer
    x = 163,658.16

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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.