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Finding the Fourth Proportional to 299,128.42, 412,802.84 and 163,167.22

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Solution

The fourth proportional to 299,128.42, 412,802.84 and 163,167.22 is: 225,173.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,128.42 : 412,802.84 = 163,167.22 : x
  2. Step 2: Convert to fraction form
    299,128.42/412,802.84 = 163,167.22/x
  3. Step 3: Cross multiply
    299,128.42x = 412,802.84 × 163,167.22
  4. Step 4: Simplify right side
    299,128.42x = 67,355,891,810.90
  5. Step 5: Solve for x
    x = 67,355,891,810.90/299,128.42
  6. Step 6: Final answer
    x = 225,173.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.