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Finding the Fourth Proportional to 538,376.40, 807,564.60 and 412,405.20

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Solution

The fourth proportional to 538,376.40, 807,564.60 and 412,405.20 is: 618,607.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,376.40 : 807,564.60 = 412,405.20 : x
  2. Step 2: Convert to fraction form
    538,376.40/807,564.60 = 412,405.20/x
  3. Step 3: Cross multiply
    538,376.40x = 807,564.60 × 412,405.20
  4. Step 4: Simplify right side
    538,376.40x = 333,043,840,375.92
  5. Step 5: Solve for x
    x = 333,043,840,375.92/538,376.40
  6. Step 6: Final answer
    x = 618,607.80

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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.