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Finding the Fourth Proportional to 604,049.86, 905,511.20 and 204,412.60

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Solution

The fourth proportional to 604,049.86, 905,511.20 and 204,412.60 is: 306,428.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,049.86 : 905,511.20 = 204,412.60 : x
  2. Step 2: Convert to fraction form
    604,049.86/905,511.20 = 204,412.60/x
  3. Step 3: Cross multiply
    604,049.86x = 905,511.20 × 204,412.60
  4. Step 4: Simplify right side
    604,049.86x = 185,097,898,721.12
  5. Step 5: Solve for x
    x = 185,097,898,721.12/604,049.86
  6. Step 6: Final answer
    x = 306,428.18

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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.