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Finding the Fourth Proportional to 381,705.40, 571,391.70 and 297,724.60

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Solution

The fourth proportional to 381,705.40, 571,391.70 and 297,724.60 is: 445,677.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,705.40 : 571,391.70 = 297,724.60 : x
  2. Step 2: Convert to fraction form
    381,705.40/571,391.70 = 297,724.60/x
  3. Step 3: Cross multiply
    381,705.40x = 571,391.70 × 297,724.60
  4. Step 4: Simplify right side
    381,705.40x = 170,117,365,325.82
  5. Step 5: Solve for x
    x = 170,117,365,325.82/381,705.40
  6. Step 6: Final answer
    x = 445,677.13

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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.