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Finding the Fourth Proportional to 392,647.12, 589,026.36 and 126,345.76

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Solution

The fourth proportional to 392,647.12, 589,026.36 and 126,345.76 is: 189,536.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,647.12 : 589,026.36 = 126,345.76 : x
  2. Step 2: Convert to fraction form
    392,647.12/589,026.36 = 126,345.76/x
  3. Step 3: Cross multiply
    392,647.12x = 589,026.36 × 126,345.76
  4. Step 4: Simplify right side
    392,647.12x = 74,420,983,114.23
  5. Step 5: Solve for x
    x = 74,420,983,114.23/392,647.12
  6. Step 6: Final answer
    x = 189,536.56

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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.