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Finding the Fourth Proportional to 299,130.57, 412,801.47 and 163,167.48

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Solution

The fourth proportional to 299,130.57, 412,801.47 and 163,167.48 is: 225,171.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,130.57 : 412,801.47 = 163,167.48 : x
  2. Step 2: Convert to fraction form
    299,130.57/412,801.47 = 163,167.48/x
  3. Step 3: Cross multiply
    299,130.57x = 412,801.47 × 163,167.48
  4. Step 4: Simplify right side
    299,130.57x = 67,355,775,600.20
  5. Step 5: Solve for x
    x = 67,355,775,600.20/299,130.57
  6. Step 6: Final answer
    x = 225,171.82

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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.