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Finding the Fourth Proportional to 540,608, 810,124.66 and 259,797.20

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Solution

The fourth proportional to 540,608, 810,124.66 and 259,797.20 is: 389,317.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,608 : 810,124.66 = 259,797.20 : x
  2. Step 2: Convert to fraction form
    540,608/810,124.66 = 259,797.20/x
  3. Step 3: Cross multiply
    540,608x = 810,124.66 × 259,797.20
  4. Step 4: Simplify right side
    540,608x = 210,468,118,318.95
  5. Step 5: Solve for x
    x = 210,468,118,318.95/540,608
  6. Step 6: Final answer
    x = 389,317.43

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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.