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Finding the Fourth Proportional to 424,649.26, 636,973.94 and 109,106.16

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Solution

The fourth proportional to 424,649.26, 636,973.94 and 109,106.16 is: 163,659.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,649.26 : 636,973.94 = 109,106.16 : x
  2. Step 2: Convert to fraction form
    424,649.26/636,973.94 = 109,106.16/x
  3. Step 3: Cross multiply
    424,649.26x = 636,973.94 × 109,106.16
  4. Step 4: Simplify right side
    424,649.26x = 69,497,780,613.47
  5. Step 5: Solve for x
    x = 69,497,780,613.47/424,649.26
  6. Step 6: Final answer
    x = 163,659.25

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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.