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Finding the Fourth Proportional to 540,399.30, 745,765.09 and 298,685.68

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Solution

The fourth proportional to 540,399.30, 745,765.09 and 298,685.68 is: 412,194.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,399.30 : 745,765.09 = 298,685.68 : x
  2. Step 2: Convert to fraction form
    540,399.30/745,765.09 = 298,685.68/x
  3. Step 3: Cross multiply
    540,399.30x = 745,765.09 × 298,685.68
  4. Step 4: Simplify right side
    540,399.30x = 222,749,353,026.91
  5. Step 5: Solve for x
    x = 222,749,353,026.91/540,399.30
  6. Step 6: Final answer
    x = 412,194.01

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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.