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Finding the Fourth Proportional to 572,842.50, 859,658.22 and 198,865.50

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Solution

The fourth proportional to 572,842.50, 859,658.22 and 198,865.50 is: 298,435.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,842.50 : 859,658.22 = 198,865.50 : x
  2. Step 2: Convert to fraction form
    572,842.50/859,658.22 = 198,865.50/x
  3. Step 3: Cross multiply
    572,842.50x = 859,658.22 × 198,865.50
  4. Step 4: Simplify right side
    572,842.50x = 170,956,361,749.41
  5. Step 5: Solve for x
    x = 170,956,361,749.41/572,842.50
  6. Step 6: Final answer
    x = 298,435.19

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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.