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Finding the Fourth Proportional to 381,602.80, 572,404.20 and 353,609.20

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Solution

The fourth proportional to 381,602.80, 572,404.20 and 353,609.20 is: 530,413.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,602.80 : 572,404.20 = 353,609.20 : x
  2. Step 2: Convert to fraction form
    381,602.80/572,404.20 = 353,609.20/x
  3. Step 3: Cross multiply
    381,602.80x = 572,404.20 × 353,609.20
  4. Step 4: Simplify right side
    381,602.80x = 202,407,391,238.64
  5. Step 5: Solve for x
    x = 202,407,391,238.64/381,602.80
  6. Step 6: Final answer
    x = 530,413.80

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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.