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Finding the Fourth Proportional to 423,089.28, 634,604.04 and 198,498.96

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Solution

The fourth proportional to 423,089.28, 634,604.04 and 198,498.96 is: 297,734.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,089.28 : 634,604.04 = 198,498.96 : x
  2. Step 2: Convert to fraction form
    423,089.28/634,604.04 = 198,498.96/x
  3. Step 3: Cross multiply
    423,089.28x = 634,604.04 × 198,498.96
  4. Step 4: Simplify right side
    423,089.28x = 125,968,241,951.80
  5. Step 5: Solve for x
    x = 125,968,241,951.80/423,089.28
  6. Step 6: Final answer
    x = 297,734.42

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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.