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Finding the Fourth Proportional to 540,342.89, 810,422.09 and 180,463.94

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Solution

The fourth proportional to 540,342.89, 810,422.09 and 180,463.94 is: 270,665.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,342.89 : 810,422.09 = 180,463.94 : x
  2. Step 2: Convert to fraction form
    540,342.89/810,422.09 = 180,463.94/x
  3. Step 3: Cross multiply
    540,342.89x = 810,422.09 × 180,463.94
  4. Step 4: Simplify right side
    540,342.89x = 146,251,963,424.44
  5. Step 5: Solve for x
    x = 146,251,963,424.44/540,342.89
  6. Step 6: Final answer
    x = 270,665.10

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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.