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Finding the Fourth Proportional to 270,420, 405,631.60 and 73,428

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Solution

The fourth proportional to 270,420, 405,631.60 and 73,428 is: 110,142.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,420 : 405,631.60 = 73,428 : x
  2. Step 2: Convert to fraction form
    270,420/405,631.60 = 73,428/x
  3. Step 3: Cross multiply
    270,420x = 405,631.60 × 73,428
  4. Step 4: Simplify right side
    270,420x = 29,784,717,124.80
  5. Step 5: Solve for x
    x = 29,784,717,124.80/270,420
  6. Step 6: Final answer
    x = 110,142.43

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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.