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Finding the Fourth Proportional to 538,029.40, 807,821.70 and 405,837.40

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Solution

The fourth proportional to 538,029.40, 807,821.70 and 405,837.40 is: 609,342.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,029.40 : 807,821.70 = 405,837.40 : x
  2. Step 2: Convert to fraction form
    538,029.40/807,821.70 = 405,837.40/x
  3. Step 3: Cross multiply
    538,029.40x = 807,821.70 × 405,837.40
  4. Step 4: Simplify right side
    538,029.40x = 327,844,258,391.58
  5. Step 5: Solve for x
    x = 327,844,258,391.58/538,029.40
  6. Step 6: Final answer
    x = 609,342.65

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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.