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Finding the Fourth Proportional to 381,020.34, 571,457.76 and 191,428.06

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Solution

The fourth proportional to 381,020.34, 571,457.76 and 191,428.06 is: 287,105.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,020.34 : 571,457.76 = 191,428.06 : x
  2. Step 2: Convert to fraction form
    381,020.34/571,457.76 = 191,428.06/x
  3. Step 3: Cross multiply
    381,020.34x = 571,457.76 × 191,428.06
  4. Step 4: Simplify right side
    381,020.34x = 109,393,050,368.75
  5. Step 5: Solve for x
    x = 109,393,050,368.75/381,020.34
  6. Step 6: Final answer
    x = 287,105.54

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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.