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Finding the Fourth Proportional to 299,071.92, 412,671.90 and 178,210.20

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Solution

The fourth proportional to 299,071.92, 412,671.90 and 178,210.20 is: 245,901.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,071.92 : 412,671.90 = 178,210.20 : x
  2. Step 2: Convert to fraction form
    299,071.92/412,671.90 = 178,210.20/x
  3. Step 3: Cross multiply
    299,071.92x = 412,671.90 × 178,210.20
  4. Step 4: Simplify right side
    299,071.92x = 73,542,341,833.38
  5. Step 5: Solve for x
    x = 73,542,341,833.38/299,071.92
  6. Step 6: Final answer
    x = 245,901.86

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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.