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Finding the Fourth Proportional to 381,396.75, 572,095.20 and 297,219.93

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Solution

The fourth proportional to 381,396.75, 572,095.20 and 297,219.93 is: 445,829.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,396.75 : 572,095.20 = 297,219.93 : x
  2. Step 2: Convert to fraction form
    381,396.75/572,095.20 = 297,219.93/x
  3. Step 3: Cross multiply
    381,396.75x = 572,095.20 × 297,219.93
  4. Step 4: Simplify right side
    381,396.75x = 170,038,095,297.34
  5. Step 5: Solve for x
    x = 170,038,095,297.34/381,396.75
  6. Step 6: Final answer
    x = 445,829.95

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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.