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Finding the Fourth Proportional to 204,006.40, 306,009.60 and 199,859.20

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Solution

The fourth proportional to 204,006.40, 306,009.60 and 199,859.20 is: 299,788.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,006.40 : 306,009.60 = 199,859.20 : x
  2. Step 2: Convert to fraction form
    204,006.40/306,009.60 = 199,859.20/x
  3. Step 3: Cross multiply
    204,006.40x = 306,009.60 × 199,859.20
  4. Step 4: Simplify right side
    204,006.40x = 61,158,833,848.32
  5. Step 5: Solve for x
    x = 61,158,833,848.32/204,006.40
  6. Step 6: Final answer
    x = 299,788.80

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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.