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Finding the Fourth Proportional to 311,844, 430,345.92 and 174,028.80

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Solution

The fourth proportional to 311,844, 430,345.92 and 174,028.80 is: 240,160.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,844 : 430,345.92 = 174,028.80 : x
  2. Step 2: Convert to fraction form
    311,844/430,345.92 = 174,028.80/x
  3. Step 3: Cross multiply
    311,844x = 430,345.92 × 174,028.80
  4. Step 4: Simplify right side
    311,844x = 74,892,584,042.50
  5. Step 5: Solve for x
    x = 74,892,584,042.50/311,844
  6. Step 6: Final answer
    x = 240,160.41

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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.