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Finding the Fourth Proportional to 538,393.40, 807,590.10 and 412,422.20

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Solution

The fourth proportional to 538,393.40, 807,590.10 and 412,422.20 is: 618,633.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,393.40 : 807,590.10 = 412,422.20 : x
  2. Step 2: Convert to fraction form
    538,393.40/807,590.10 = 412,422.20/x
  3. Step 3: Cross multiply
    538,393.40x = 807,590.10 × 412,422.20
  4. Step 4: Simplify right side
    538,393.40x = 333,068,085,740.22
  5. Step 5: Solve for x
    x = 333,068,085,740.22/538,393.40
  6. Step 6: Final answer
    x = 618,633.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.